182 LearnersLast updated on May 26th, 2025
LCM of 26 and 91
The smallest number that should also be a positive number, and evenly divide both the numbers, is known as the least common factor. LCM is very important for solving problems, especially fractions, scheduling events etc.
What is the LCM of 26 and 91
The LCM of 26 and 91 is the lowest number that divides both 26 and 91 without leaving any remainder. The LCM of 26 and 91 is 182.
How to find the LCM of 26 and 91?
The LCM of 26 and 91 can be found by the following methods like division method, listing multiples, prime factorization.
LCM of 26 and 91 using Division method:
In the division method, we divide both the numbers by the lowest possible number until we get 1 for both numbers.
2 divides 26 and not 91, leaving 13 and 91
7 divides 91 and not 13 leaving 13 and 13
13 divides 13,13 leaving 1,1
LCM = 2 × 7 × 13= 182.
LCM of 26 and 91 using Listing multiples:
We write the multiples of both numbers till we find the common one.
Multiples of 26: 26, 52, 78, 104, 130, 156, 182…
Multiples of 91: 91, 182, 273…
The common multiple is 182. So, the LCM of 26 and 91 is 182.
LCM of 26 and 91 using prime factorization:
We part each number into divisors and select the highest powers of all the prime factors.
26= 2 × 13
91= 7 × 13
LCM = 2 × 7 × 13= 182.
Common Mistakes and How to Avoid Them in LCM of 26 and 91
While solving problems on LCM, children are likely to make common mistakes, here are a few mistakes and how to avoid them.
Mistake 1
Not including the prime factors with the right ones.
Children sometimes get confused and do not include the prime factors, instead of writing 9=3×3 they write 9=3×1. Students should always break numbers into prime numbers.
Examples of LCM of 26 and 91
Problem 1
Verify if the relationship LCM (26,91) x GCF(26,91) = 26 × 91 holds.
Step 1: Calculate the LCM and GCF of 26 and 91
LCM (26,91)=182
GCF(26,91)=13
Step 2: Verify the relationship:
LCM(26,91)×GCF(26,91)=182×13=2366
182 × 13 =2366
26 × 91=2366.
Explanation
The relationship holds true because 2366=2366.
Problem 2
Solve the following expression using LCM of 26 and 91: 1/26 + 1/91
The sum of 1/26 and 1/91simplifies to 9/182using the LCM as a common denominator.
Explanation
Calculate the LCM of 26 and 91:
LCM(26,91)=182
1/26 = 1x7/26 x 7 , 1x2/91x2=2/182
Add the fractions:
7/182 + 2/182 = 9/182
Problem 3
If a contractor works every 26 days and a supplier delivers materials every 91 days, how many times will they meet in 1000 days?
LCM(26,91)=182
Number of meetings = 1000/182
= 5 meetings.
So, they will meet 5 times.
Explanation
They will meet 5 times in 1000 days because the LCM of their cycles is 182 days, and 1000 divided by 182 gives approximately 5 complete overlaps.
FAQs on LCM of 26 and 91
1.What type of number is 26?
2.Are 7 and 11 twin primes?
3.Are 27 and 72 co-prime?
4.What is the LCM and GCF of 26 and 91?
5.Does 91 and 26 belong to the same table, If yes which?
6.How can children in United States use numbers in everyday life to understand LCM of 26 and 91?
7.What are some fun ways kids in United States can practice LCM of 26 and 91 with numbers?
8.What role do numbers and LCM of 26 and 91 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve LCM of 26 and 91 skills?
Important glossaries for LCM of 26 and 91
- Co-prime: two numbers that have only one number that is 1 as their common factor. For example, 8 and 15 are co-prime numbers.
- Even Number: A natural number is divisible by 2. For example, 2,4,68,10 etc.
- Prime Factorization: The process of parting down a number into its prime factors is called Prime Factorization. For example, prime factorization of 24 = 2 × 2 × 2 × 3.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
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