Given numbers are 977,446,349,252,506

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

The LCM of 977,446,349,252,506 is 4847813633124.

Find LCM of 977,446,349,252,506 with Prime Factorization

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

2 x 977 x 223 x 349 x 126 x 253 = 4847813633124

Therefore, the lowest common multiple of 977,446,349,252,506 is 4847813633124.

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 446 x 349 x 252 x 506 = 19391254532496

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

446 : 1, 2, 223, 446

349 : 1, 349

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,446,349,252,506, is 1.

Now, the common factors can be found like this.

977:977

446:2x 223

349:349

252:2x 2x 3x 3x 7

506:2x 11x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 19391254532496/(1x4)

LCM = 19391254532496/4

LCM = 4847813633124

Thus, we can understand that the LCM of 977,446,349,252,506 is 4847813633124.

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

• LCM of 224, 924, 105, 719, 231
• LCM of 227, 779, 332, 955, 427
• LCM of 966, 648, 312, 230, 466
• LCM of 810, 229, 135, 171, 848
• LCM of 312, 969, 538, 742, 145

1. What is the LCM of 977, 446, 349, 252, 506?

Answer: LCM of 977, 446, 349, 252, 506 is 4847813633124.

2. How to calculate the LCM of 977, 446, 349, 252, 506?

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, 446, 349, 252, 506.

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}.