LCM Of 35 And 50

The LCM or the least common multiple of 2 numbers is the smallest number that appears as a multiple of both numbers. In case of 35 And 50, The LCM is 350. But how did we get to this answer? There are different ways to obtain a LCM of 2 or more numbers. Let us take a look at those methods.
 

Remember that we previously said there are plenty of ways to calculate the LCM of two numbers or more. Then some of those methods make it extremely easy for us to find the LCM of any two numbers. Those methods are: 

• Listing of Multiples

• Prime Factorization

• Division Method

Finally, now we will learn how each of these methods can help us to calculate LCM of given numbers.
 

This method will help us find the LCM of the numbers by listing the multiples of the given numbers. Let us take a step by step look at this method.

step 1: is to list all the multiples of the given numbers.

Multiples Of 35: 35, 70, 105, 140, 175, 210, 245, 280, 315 and 350.

Multiples Of 50: 50,100,150,200,250,300,350,400,450 and 500 

step 2: find the smallest common multiples in both the numbers. In this case, that number is 350 as highlighted above.

By this way we will be able to tell the LCM of given numbers.

Let us break down the process of prime factorization into steps and make it easy for children to understand.
The first step is to break down the given numbers into its primal form. The primal form of the number is:

35= 5×7

50= 2×5×5

As you can see, 5 appears as a prime factor in both numbers. So instead of considering 5 three times, we will only consider it twice. So the final equation will look like (2×5×5×7).

So after the multiplication, we will be getting the LCM as 350.

As you can see, using this method can be easier for larger numbers compared to the previous method. 
 

The method to calculate the LCM is really simple. We’ll break these given numbers apart till it comes down to one, by dividing it by the prime factors. The product of the divisors that will come is the LCM of the given numbers.

Let us understand it step by step:

• The first thing is to find the number common in both the numbers. Here it is 5. In that case, we divide both the numbers by 5. It will reduce the values of the numbers to 7 and 10.

• We will divide 7 by seven, as it is a prime number and can’t be divided by any other number. We will divide 10 by 5 first, which will bring it down to 2, and then divide by 2 and make the last row full of 1’s.

• As the numbers in the last row now are 1, we will take the numbers on the left side and find the product of those numbers. The final equation will look like this: (2×5×5×7).

These numbers multiplied give 504. On this basis, therefore, the LCM of the 35 and 50 becomes 350.
 

• Multiple: A number you have to multiply another number. For example, 5, 10, 15 etc. are all multiples of 5.

• Division Method: A way to find the LCM by dividing the numbers by prime factors until you reach all 1’s, then multiplying the divisors to get the LCM.

• Divisibility: If a number of divides another without any leftovers, it is divisible. For example, 350 is divisible by 35 because 350 ÷ 35 = 10.

• LCM (Least Common Multiple): The smallest number that two or more numbers can both divide into without any leftovers. For example, the LCM of 35 and 50 is 350.