Given numbers are 988,560,974,646,972

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

The LCM of 988,560,974,646,972 is 278271761040.

Find LCM of 988,560,974,646,972 with Prime Factorization

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

2 x 2 x 19 x 13 x 140 x 487 x 17 x 243 = 278271761040

Therefore, the lowest common multiple of 988,560,974,646,972 is 278271761040.

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.

988 x 560 x 974 x 646 x 972 = 338378461424640

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

974 : 1, 2, 487, 974

646 : 1, 2, 17, 19, 34, 38, 323, 646

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,560,974,646,972, is 2.

Now, the common factors can be found like this.

988:2x 2x 13x 19

560:2x 2x 2x 2x 5x 7

974:2x 487

646:2x 17x 19

972:2x 2x 3x 3x 3x 3x 3

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 2x 19 = 608

Therefore, the value for common factors is 608.

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 = 338378461424640/(2x608)

LCM = 338378461424640/1216

LCM = 278271761040

Thus, we can understand that the LCM of 988,560,974,646,972 is 278271761040.

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

• LCM of 466, 416, 333, 333, 439
• LCM of 697, 935, 832, 445, 929
• LCM of 598, 289, 411, 684, 881
• LCM of 146, 661, 869, 738, 654
• LCM of 916, 267, 780, 855, 694

1. What is the LCM of 988, 560, 974, 646, 972?

Answer: LCM of 988, 560, 974, 646, 972 is 278271761040.

2. How to calculate the LCM of 988, 560, 974, 646, 972?

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 988, 560, 974, 646, 972.

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}.