Given numbers are 756,869,847,680,980

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

The LCM of 756,869,847,680,980 is 8599658760.

Find LCM of 756,869,847,680,980 with Prime Factorization

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

2 x 2 x 5 x 7 x 11 x 27 x 79 x 11 x 34 x 7 = 8599658760

Therefore, the lowest common multiple of 756,869,847,680,980 is 8599658760.

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.

756 x 869 x 847 x 680 x 980 = 370817285731200

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

869 : 1, 11, 79, 869

847 : 1, 7, 11, 77, 121, 847

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,869,847,680,980, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

869:11x 79

847:7x 11x 11

680:2x 2x 2x 5x 17

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 5x 7x 7x 11 = 43120

Therefore, the value for common factors is 43120.

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 = 370817285731200/(1x43120)

LCM = 370817285731200/43120

LCM = 8599658760

Thus, we can understand that the LCM of 756,869,847,680,980 is 8599658760.

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

• LCM of 757, 728, 836, 917, 671
• LCM of 623, 891, 240, 673, 999
• LCM of 607, 214, 522, 287, 537
• LCM of 515, 619, 439, 644, 145
• LCM of 674, 619, 531, 751, 145

1. What is the LCM of 756, 869, 847, 680, 980?

Answer: LCM of 756, 869, 847, 680, 980 is 8599658760.

2. How to calculate the LCM of 756, 869, 847, 680, 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 756, 869, 847, 680, 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}.