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LCM of 624, 202, 677, 572, 404

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


Find the LCM of 624, 202, 677, 572, 404 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 624, 202, 677, 572, 404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 624,202,677,572,404

Given numbers are 624,202,677,572,404

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

The LCM of 624,202,677,572,404 is 469339728.

Find LCM of 624,202,677,572,404 with Prime Factorization


2 624, 202, 677, 572, 404
2 312, 101, 677, 286, 202
13 156, 101, 677, 143, 101
101 12, 101, 677, 11, 101
12, 1, 677, 11, 1

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

2 x 2 x 13 x 101 x 12 x 1 x 677 x 11 x 1 = 469339728

Therefore, the lowest common multiple of 624,202,677,572,404 is 469339728.

LCM Formula to Find Lowest Common Multiple of 624,202,677,572,404

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.

624 x 202 x 677 x 572 x 404 = 19719778011648

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

202 : 1, 2, 101, 202

677 : 1, 677

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

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,202,677,572,404, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

202:2x 101

677:677

572:2x 2x 11x 13

404:2x 2x 101

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 2x 13x 101 = 42016

Therefore, the value for common factors is 42016.

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 = 19719778011648/(1x42016)

LCM = 19719778011648/42016

LCM = 469339728

Thus, we can understand that the LCM of 624,202,677,572,404 is 469339728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 624, 202, 677, 572, 404

1. What is the LCM of 624, 202, 677, 572, 404?

Answer: LCM of 624, 202, 677, 572, 404 is 469339728.

2. How to calculate the LCM of 624, 202, 677, 572, 404?

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 624, 202, 677, 572, 404.

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}.