Last updated on May 26th, 2025
The Least Common Multiple (LCM) is the smallest number that when we divide by two or more numbers at a time, all three or more numbers divide into it. LCM also helps in math problems and everyday things like event planning or buying supplies. We will find the LCM of 35 and 50 together and what that really means.
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:
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:
These numbers multiplied give 504. On this basis, therefore, the LCM of the 35 and 50 becomes 350.
Let us look at some of the common mistakes that can happen while solving a given assignment regarding LCM.
If a school bus goes every 35 minutes and another every 50 minutes, when will they go together?
They will leave together in 350 minutes.
To find when they leave together, we find the smallest number that both 35 and 50 fit into, which is 350 minutes.
If 35 kids share 50 pizza slices, how many slices are needed for the same number of kids next time?
350 slices are needed for 35 kids next time.
If 35 kids share 50 slices, each gets less. To make it fair, we need 350 slices, so everyone gets 10 slices each.
If two clocks ring every 35 and 50 minutes, when do they ring together?
The clocks will ring together every 350 minutes.
350 is the smallest number both 35 and 50 can divide evenly. It’s their common time.
A train arrives every 35 minutes, and a bus every 50 minutes. When do they arrive together?
They will arrive together in 350 minutes.
350 is the smallest number where both 35 and 50 divide evenly, meaning the train and bus meet then.
In a game, you score every 35 points and earn a bonus at 50 points. When will you earn the bonus again?
You will earn the bonus again at 350 points
350 is the smallest number that both 35 and 50 divide into evenly, meaning it's when the bonus happens again.