Given numbers are 157,946,312,792

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

The LCM of 157,946,312,792 is 69508296.

Find LCM of 157,946,312,792 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 157 x 43 x 13 x 3 = 69508296

Therefore, the lowest common multiple of 157,946,312,792 is 69508296.

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.

157 x 946 x 312 x 792 = 36700380288

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.

157 : 1, 157

946 : 1, 2, 11, 22, 43, 86, 473, 946

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,946,312,792, is 1.

Now, the common factors can be found like this.

157:157

946:2x 11x 43

312:2x 2x 2x 3x 13

792:2x 2x 2x 3x 3x 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 3x 11 = 528

Therefore, the value for common factors is 528.

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 = 36700380288/(1x528)

LCM = 36700380288/528

LCM = 69508296

Thus, we can understand that the LCM of 157,946,312,792 is 69508296.

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

• LCM of 570, 721, 900, 859
• LCM of 164, 718, 837, 888
• LCM of 228, 686, 500, 505
• LCM of 673, 802, 174, 925
• LCM of 182, 766, 636, 180

1. What is the LCM of 157, 946, 312, 792?

Answer: LCM of 157, 946, 312, 792 is 69508296.

2. How to calculate the LCM of 157, 946, 312, 792?

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 157, 946, 312, 792.

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}.