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LCM of 252, 565, 113

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 252, 565, 113 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 252, 565, 113. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 252,565,113

Given numbers are 252,565,113

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 252,565,113 is 142380.

Find LCM of 252,565,113 with Prime Factorization


113 252, 565, 113
252, 5, 1

Multiply the prime numbers at the bottom and the left side.

113 x 252 x 5 x 1 = 142380

Therefore, the lowest common multiple of 252,565,113 is 142380.

LCM Formula to Find Lowest Common Multiple of 252,565,113

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

252 x 565 x 113 = 16088940

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

565 : 1, 5, 113, 565

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,565,113, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

565:5x 113

113:113

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

113 = 113

Therefore, the value for common factors is 113.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 16088940/(1x113)

LCM = 16088940/113

LCM = 142380

Thus, we can understand that the LCM of 252,565,113 is 142380.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 252, 565, 113

1. What is the LCM of 252, 565, 113?

Answer: LCM of 252, 565, 113 is 142380.

2. How to calculate the LCM of 252, 565, 113?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 252, 565, 113.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.