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LCM of 247, 572, 936, 636

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


Find the LCM of 247, 572, 936, 636 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 247, 572, 936, 636. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 247,572,936,636

Given numbers are 247,572,936,636

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

The LCM of 247,572,936,636 is 10368072.

Find LCM of 247,572,936,636 with Prime Factorization


2 247, 572, 936, 636
2 247, 286, 468, 318
3 247, 143, 234, 159
13 247, 143, 78, 53
19, 11, 6, 53

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

2 x 2 x 3 x 13 x 19 x 11 x 6 x 53 = 10368072

Therefore, the lowest common multiple of 247,572,936,636 is 10368072.

LCM Formula to Find Lowest Common Multiple of 247,572,936,636

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.

247 x 572 x 936 x 636 = 84105800064

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.

247 : 1, 13, 19, 247

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,572,936,636, is 1.

Now, the common factors can be found like this.

247:13x 19

572:2x 2x 11x 13

936:2x 2x 2x 3x 3x 13

636:2x 2x 3x 53

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 2x 2x 3x 13x 13 = 8112

Therefore, the value for common factors is 8112.

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 = 84105800064/(1x8112)

LCM = 84105800064/8112

LCM = 10368072

Thus, we can understand that the LCM of 247,572,936,636 is 10368072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 247, 572, 936, 636

1. What is the LCM of 247, 572, 936, 636?

Answer: LCM of 247, 572, 936, 636 is 10368072.

2. How to calculate the LCM of 247, 572, 936, 636?

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 247, 572, 936, 636.

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}.