Given numbers are 102,334,690,726,742

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

The LCM of 102,334,690,726,742 is 87937428810.

Find LCM of 102,334,690,726,742 with Prime Factorization

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

2 x 3 x 17 x 167 x 115 x 121 x 371 = 87937428810

Therefore, the lowest common multiple of 102,334,690,726,742 is 87937428810.

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.

102 x 334 x 690 x 726 x 742 = 12662989748640

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

334 : 1, 2, 167, 334

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,334,690,726,742, is 2.

Now, the common factors can be found like this.

102:2x 3x 17

334:2x 167

690:2x 3x 5x 23

726:2x 3x 11x 11

742:2x 7x 53

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 3 = 72

Therefore, the value for common factors is 72.

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 = 12662989748640/(2x72)

LCM = 12662989748640/144

LCM = 87937428810

Thus, we can understand that the LCM of 102,334,690,726,742 is 87937428810.

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

• LCM of 824, 572, 412, 214, 284
• LCM of 932, 262, 813, 664, 120
• LCM of 489, 547, 685, 849, 784
• LCM of 562, 800, 163, 922, 565
• LCM of 822, 914, 478, 220, 331

1. What is the LCM of 102, 334, 690, 726, 742?

Answer: LCM of 102, 334, 690, 726, 742 is 87937428810.

2. How to calculate the LCM of 102, 334, 690, 726, 742?

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 102, 334, 690, 726, 742.

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}.