Given numbers are 688,864,596,980

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

The LCM of 688,864,596,980 is 1356233760.

Find LCM of 688,864,596,980 with Prime Factorization

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

2 x 2 x 2 x 2 x 43 x 54 x 149 x 245 = 1356233760

Therefore, the lowest common multiple of 688,864,596,980 is 1356233760.

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.

688 x 864 x 596 x 980 = 347195842560

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.

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

596 : 1, 2, 4, 149, 298, 596

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,864,596,980, is 4.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

864:2x 2x 2x 2x 2x 3x 3x 3

596:2x 2x 149

980:2x 2x 5x 7x 7

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 2 = 64

Therefore, the value for common factors is 64.

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 = 347195842560/(4x64)

LCM = 347195842560/256

LCM = 1356233760

Thus, we can understand that the LCM of 688,864,596,980 is 1356233760.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 177, 549, 775, 222
• LCM of 401, 106, 156, 745
• LCM of 452, 313, 225, 973
• LCM of 496, 813, 413, 525
• LCM of 494, 168, 600, 731

1. What is the LCM of 688, 864, 596, 980?

Answer: LCM of 688, 864, 596, 980 is 1356233760.

2. How to calculate the LCM of 688, 864, 596, 980?

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 688, 864, 596, 980.

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}.