Given numbers are 977,506,942,638,736

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

The LCM of 977,506,942,638,736 is 108039848928.

Find LCM of 977,506,942,638,736 with Prime Factorization

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

2 x 11 x 23 x 977 x 1 x 471 x 29 x 16 = 108039848928

Therefore, the lowest common multiple of 977,506,942,638,736 is 108039848928.

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.

977 x 506 x 942 x 638 x 736 = 218672654230272

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.

977 : 1, 977

506 : 1, 2, 11, 22, 23, 46, 253, 506

942 : 1, 2, 3, 6, 157, 314, 471, 942

638 : 1, 2, 11, 22, 29, 58, 319, 638

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,506,942,638,736, is 1.

Now, the common factors can be found like this.

977:977

506:2x 11x 23

942:2x 3x 157

638:2x 11x 29

736:2x 2x 2x 2x 2x 23

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 11x 23 = 2024

Therefore, the value for common factors is 2024.

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 = 218672654230272/(1x2024)

LCM = 218672654230272/2024

LCM = 108039848928

Thus, we can understand that the LCM of 977,506,942,638,736 is 108039848928.

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

• LCM of 770, 389, 337, 140, 513
• LCM of 205, 245, 312, 686, 817
• LCM of 105, 141, 253, 363, 585
• LCM of 849, 881, 200, 141, 277
• LCM of 879, 762, 284, 411, 118

1. What is the LCM of 977, 506, 942, 638, 736?

Answer: LCM of 977, 506, 942, 638, 736 is 108039848928.

2. How to calculate the LCM of 977, 506, 942, 638, 736?

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 977, 506, 942, 638, 736.

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}.