Given numbers are 760,684,493,104,692

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

The LCM of 760,684,493,104,692 is 7583897880.

Find LCM of 760,684,493,104,692 with Prime Factorization

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

2 x 2 x 2 x 19 x 5 x 9 x 493 x 13 x 173 = 7583897880

Therefore, the lowest common multiple of 760,684,493,104,692 is 7583897880.

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.

760 x 684 x 493 x 104 x 692 = 18444039644160

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.

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

493 : 1, 17, 29, 493

104 : 1, 2, 4, 8, 13, 26, 52, 104

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,684,493,104,692, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

684:2x 2x 3x 3x 19

493:17x 29

104:2x 2x 2x 13

692:2x 2x 173

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 2x 2x 19 = 2432

Therefore, the value for common factors is 2432.

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 = 18444039644160/(1x2432)

LCM = 18444039644160/2432

LCM = 7583897880

Thus, we can understand that the LCM of 760,684,493,104,692 is 7583897880.

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

• LCM of 152, 706, 812, 637, 979
• LCM of 437, 686, 689, 897, 652
• LCM of 909, 949, 459, 420, 124
• LCM of 510, 971, 630, 154, 319
• LCM of 780, 732, 785, 379, 141

1. What is the LCM of 760, 684, 493, 104, 692?

Answer: LCM of 760, 684, 493, 104, 692 is 7583897880.

2. How to calculate the LCM of 760, 684, 493, 104, 692?

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 760, 684, 493, 104, 692.

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}.