Given numbers are 974,634,813,704,542

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

The LCM of 974,634,813,704,542 is 88359129408.

Find LCM of 974,634,813,704,542 with Prime Factorization

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

2 x 271 x 487 x 317 x 3 x 352 x 1 = 88359129408

Therefore, the lowest common multiple of 974,634,813,704,542 is 88359129408.

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.

974 x 634 x 813 x 704 x 542 = 191562592556544

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.

974 : 1, 2, 487, 974

634 : 1, 2, 317, 634

813 : 1, 3, 271, 813

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,634,813,704,542, is 1.

Now, the common factors can be found like this.

974:2x 487

634:2x 317

813:3x 271

704:2x 2x 2x 2x 2x 2x 11

542:2x 271

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 271 = 2168

Therefore, the value for common factors is 2168.

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 = 191562592556544/(1x2168)

LCM = 191562592556544/2168

LCM = 88359129408

Thus, we can understand that the LCM of 974,634,813,704,542 is 88359129408.

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

• LCM of 223, 644, 384, 449, 764
• LCM of 124, 273, 554, 212, 835
• LCM of 923, 760, 739, 946, 445
• LCM of 361, 551, 696, 744, 134
• LCM of 527, 162, 499, 483, 118

1. What is the LCM of 974, 634, 813, 704, 542?

Answer: LCM of 974, 634, 813, 704, 542 is 88359129408.

2. How to calculate the LCM of 974, 634, 813, 704, 542?

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 974, 634, 813, 704, 542.

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}.