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LCM of 637, 832, 468, 753

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


Find the LCM of 637, 832, 468, 753 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 637, 832, 468, 753. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 637,832,468,753

Given numbers are 637,832,468,753

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

The LCM of 637,832,468,753 is 92094912.

Find LCM of 637,832,468,753 with Prime Factorization


2 637, 832, 468, 753
2 637, 416, 234, 753
3 637, 208, 117, 753
13 637, 208, 39, 251
49, 16, 3, 251

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

2 x 2 x 3 x 13 x 49 x 16 x 3 x 251 = 92094912

Therefore, the lowest common multiple of 637,832,468,753 is 92094912.

LCM Formula to Find Lowest Common Multiple of 637,832,468,753

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.

637 x 832 x 468 x 753 = 186768481536

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.

637 : 1, 7, 13, 49, 91, 637

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,832,468,753, is 1.

Now, the common factors can be found like this.

637:7x 7x 13

832:2x 2x 2x 2x 2x 2x 13

468:2x 2x 3x 3x 13

753:3x 251

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

2x 2x 3x 13x 13 = 2028

Therefore, the value for common factors is 2028.

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 = 186768481536/(1x2028)

LCM = 186768481536/2028

LCM = 92094912

Thus, we can understand that the LCM of 637,832,468,753 is 92094912.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 637, 832, 468, 753

1. What is the LCM of 637, 832, 468, 753?

Answer: LCM of 637, 832, 468, 753 is 92094912.

2. How to calculate the LCM of 637, 832, 468, 753?

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 637, 832, 468, 753.

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}.