Given numbers are 976,234,746,992,660

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

The LCM of 976,234,746,992,660 is 145244230560.

Find LCM of 976,234,746,992,660 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 61 x 39 x 373 x 62 x 55 = 145244230560

Therefore, the lowest common multiple of 976,234,746,992,660 is 145244230560.

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.

976 x 234 x 746 x 992 x 660 = 111547569070080

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.

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

746 : 1, 2, 373, 746

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,234,746,992,660, is 2.

Now, the common factors can be found like this.

976:2x 2x 2x 2x 61

234:2x 3x 3x 13

746:2x 373

992:2x 2x 2x 2x 2x 31

660:2x 2x 3x 5x 11

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 3 = 384

Therefore, the value for common factors is 384.

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 = 111547569070080/(2x384)

LCM = 111547569070080/768

LCM = 145244230560

Thus, we can understand that the LCM of 976,234,746,992,660 is 145244230560.

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

• LCM of 750, 483, 947, 607, 908
• LCM of 835, 223, 382, 274, 898
• LCM of 124, 822, 770, 942, 490
• LCM of 288, 117, 105, 680, 123
• LCM of 153, 473, 123, 348, 134

1. What is the LCM of 976, 234, 746, 992, 660?

Answer: LCM of 976, 234, 746, 992, 660 is 145244230560.

2. How to calculate the LCM of 976, 234, 746, 992, 660?

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 976, 234, 746, 992, 660.

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}.