Given numbers are 395,142,192,374

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

The LCM of 395,142,192,374 is 1006927680.

Find LCM of 395,142,192,374 with Prime Factorization

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

2 x 395 x 71 x 96 x 187 = 1006927680

Therefore, the lowest common multiple of 395,142,192,374 is 1006927680.

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.

395 x 142 x 192 x 374 = 4027710720

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.

395 : 1, 5, 79, 395

142 : 1, 2, 71, 142

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,142,192,374, is 1.

Now, the common factors can be found like this.

395:5x 79

142:2x 71

192:2x 2x 2x 2x 2x 2x 3

374:2x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 4027710720/(1x4)

LCM = 4027710720/4

LCM = 1006927680

Thus, we can understand that the LCM of 395,142,192,374 is 1006927680.

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

• LCM of 857, 548, 965, 148
• LCM of 922, 418, 808, 591
• LCM of 791, 931, 564, 423
• LCM of 254, 867, 183, 492
• LCM of 711, 422, 573, 486

1. What is the LCM of 395, 142, 192, 374?

Answer: LCM of 395, 142, 192, 374 is 1006927680.

2. How to calculate the LCM of 395, 142, 192, 374?

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 395, 142, 192, 374.

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}.