Given numbers are 362,252,953,612,748

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

The LCM of 362,252,953,612,748 is 8128560132.

Find LCM of 362,252,953,612,748 with Prime Factorization

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

2 x 2 x 3 x 3 x 17 x 181 x 7 x 953 x 1 x 11 = 8128560132

Therefore, the lowest common multiple of 362,252,953,612,748 is 8128560132.

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.

362 x 252 x 953 x 612 x 748 = 39797430406272

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.

362 : 1, 2, 181, 362

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

953 : 1, 953

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,252,953,612,748, is 1.

Now, the common factors can be found like this.

362:2x 181

252:2x 2x 3x 3x 7

953:953

612:2x 2x 3x 3x 17

748:2x 2x 11x 17

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 3x 3x 17 = 4896

Therefore, the value for common factors is 4896.

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 = 39797430406272/(1x4896)

LCM = 39797430406272/4896

LCM = 8128560132

Thus, we can understand that the LCM of 362,252,953,612,748 is 8128560132.

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

• LCM of 455, 308, 144, 462, 796
• LCM of 868, 616, 215, 559, 509
• LCM of 283, 851, 341, 835, 141
• LCM of 880, 171, 722, 357, 455
• LCM of 422, 803, 636, 218, 876

1. What is the LCM of 362, 252, 953, 612, 748?

Answer: LCM of 362, 252, 953, 612, 748 is 8128560132.

2. How to calculate the LCM of 362, 252, 953, 612, 748?

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 362, 252, 953, 612, 748.

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}.