Given numbers are 642,857,780,126,294

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

The LCM of 642,857,780,126,294 is 10514207340.

Find LCM of 642,857,780,126,294 with Prime Factorization

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

2 x 3 x 7 x 107 x 857 x 130 x 3 x 7 = 10514207340

Therefore, the lowest common multiple of 642,857,780,126,294 is 10514207340.

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.

642 x 857 x 780 x 126 x 294 = 15897481498080

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

857 : 1, 857

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

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,857,780,126,294, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

857:857

780:2x 2x 3x 5x 13

126:2x 3x 3x 7

294:2x 3x 7x 7

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 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 15897481498080/(1x1512)

LCM = 15897481498080/1512

LCM = 10514207340

Thus, we can understand that the LCM of 642,857,780,126,294 is 10514207340.

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

• LCM of 452, 327, 149, 426, 815
• LCM of 939, 765, 997, 457, 211
• LCM of 375, 737, 271, 745, 601
• LCM of 690, 669, 101, 859, 975
• LCM of 629, 188, 112, 316, 840

1. What is the LCM of 642, 857, 780, 126, 294?

Answer: LCM of 642, 857, 780, 126, 294 is 10514207340.

2. How to calculate the LCM of 642, 857, 780, 126, 294?

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 642, 857, 780, 126, 294.

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}.