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LCM of 136, 488, 572, 828, 646

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


Find the LCM of 136, 488, 572, 828, 646 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 136, 488, 572, 828, 646. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 136,488,572,828,646

Given numbers are 136,488,572,828,646

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

The LCM of 136,488,572,828,646 is 4665828024.

Find LCM of 136,488,572,828,646 with Prime Factorization


2 136, 488, 572, 828, 646
2 68, 244, 286, 414, 323
2 34, 122, 143, 207, 323
17 17, 61, 143, 207, 323
1, 61, 143, 207, 19

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

2 x 2 x 2 x 17 x 1 x 61 x 143 x 207 x 19 = 4665828024

Therefore, the lowest common multiple of 136,488,572,828,646 is 4665828024.

LCM Formula to Find Lowest Common Multiple of 136,488,572,828,646

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.

136 x 488 x 572 x 828 x 646 = 20305683560448

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.

136 : 1, 2, 4, 8, 17, 34, 68, 136

488 : 1, 2, 4, 8, 61, 122, 244, 488

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

646 : 1, 2, 17, 19, 34, 38, 323, 646

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,488,572,828,646, is 2.

Now, the common factors can be found like this.

136:2x 2x 2x 17

488:2x 2x 2x 61

572:2x 2x 11x 13

828:2x 2x 3x 3x 23

646:2x 17x 19

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 2x 2x 17 = 2176

Therefore, the value for common factors is 2176.

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 = 20305683560448/(2x2176)

LCM = 20305683560448/4352

LCM = 4665828024

Thus, we can understand that the LCM of 136,488,572,828,646 is 4665828024.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 136, 488, 572, 828, 646

1. What is the LCM of 136, 488, 572, 828, 646?

Answer: LCM of 136, 488, 572, 828, 646 is 4665828024.

2. How to calculate the LCM of 136, 488, 572, 828, 646?

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 136, 488, 572, 828, 646.

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}.