Given numbers are 942,476,653,561,780

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

The LCM of 942,476,653,561,780 is 104675991420.

Find LCM of 942,476,653,561,780 with Prime Factorization

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

2 x 2 x 3 x 17 x 157 x 7 x 653 x 11 x 65 = 104675991420

Therefore, the lowest common multiple of 942,476,653,561,780 is 104675991420.

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.

942 x 476 x 653 x 561 x 780 = 128123413498080

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.

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

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

653 : 1, 653

561 : 1, 3, 11, 17, 33, 51, 187, 561

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,476,653,561,780, is 1.

Now, the common factors can be found like this.

942:2x 3x 157

476:2x 2x 7x 17

653:653

561:3x 11x 17

780:2x 2x 3x 5x 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 2x 2x 3x 3x 17 = 1224

Therefore, the value for common factors is 1224.

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 = 128123413498080/(1x1224)

LCM = 128123413498080/1224

LCM = 104675991420

Thus, we can understand that the LCM of 942,476,653,561,780 is 104675991420.

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

• LCM of 913, 755, 722, 439, 991
• LCM of 158, 668, 531, 880, 117
• LCM of 618, 366, 471, 940, 646
• LCM of 214, 735, 282, 291, 205
• LCM of 112, 671, 598, 468, 398

1. What is the LCM of 942, 476, 653, 561, 780?

Answer: LCM of 942, 476, 653, 561, 780 is 104675991420.

2. How to calculate the LCM of 942, 476, 653, 561, 780?

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 942, 476, 653, 561, 780.

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}.