Given numbers are 971,115,494,624

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

The LCM of 971,115,494,624 is 1323900240.

Find LCM of 971,115,494,624 with Prime Factorization

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

2 x 13 x 971 x 115 x 19 x 24 = 1323900240

Therefore, the lowest common multiple of 971,115,494,624 is 1323900240.

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.

971 x 115 x 494 x 624 = 34421406240

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.

971 : 1, 971

115 : 1, 5, 23, 115

494 : 1, 2, 13, 19, 26, 38, 247, 494

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,115,494,624, is 1.

Now, the common factors can be found like this.

971:971

115:5x 23

494:2x 13x 19

624:2x 2x 2x 2x 3x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 34421406240/(1x26)

LCM = 34421406240/26

LCM = 1323900240

Thus, we can understand that the LCM of 971,115,494,624 is 1323900240.

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

• LCM of 744, 895, 212, 696
• LCM of 891, 830, 456, 323
• LCM of 414, 193, 381, 445
• LCM of 814, 532, 881, 674
• LCM of 888, 940, 907, 275

1. What is the LCM of 971, 115, 494, 624?

Answer: LCM of 971, 115, 494, 624 is 1323900240.

2. How to calculate the LCM of 971, 115, 494, 624?

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 971, 115, 494, 624.

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}.