Given numbers are 375,862,177,312,404

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

The LCM of 375,862,177,312,404 is 100164831000.

Find LCM of 375,862,177,312,404 with Prime Factorization

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

2 x 2 x 3 x 125 x 431 x 59 x 26 x 101 = 100164831000

Therefore, the lowest common multiple of 375,862,177,312,404 is 100164831000.

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.

375 x 862 x 177 x 312 x 404 = 7211867832000

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.

375 : 1, 3, 5, 15, 25, 75, 125, 375

862 : 1, 2, 431, 862

177 : 1, 3, 59, 177

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

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,862,177,312,404, is 1.

Now, the common factors can be found like this.

375:3x 5x 5x 5

862:2x 431

177:3x 59

312:2x 2x 2x 3x 13

404:2x 2x 101

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 = 7211867832000/(1x72)

LCM = 7211867832000/72

LCM = 100164831000

Thus, we can understand that the LCM of 375,862,177,312,404 is 100164831000.

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

• LCM of 220, 995, 970, 360, 387
• LCM of 544, 454, 251, 188, 507
• LCM of 989, 108, 420, 603, 534
• LCM of 158, 591, 990, 238, 966
• LCM of 822, 328, 621, 661, 286

1. What is the LCM of 375, 862, 177, 312, 404?

Answer: LCM of 375, 862, 177, 312, 404 is 100164831000.

2. How to calculate the LCM of 375, 862, 177, 312, 404?

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 375, 862, 177, 312, 404.

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}.