Given numbers are 380,422,343,974

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

The LCM of 380,422,343,974 is 13393347380.

Find LCM of 380,422,343,974 with Prime Factorization

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

2 x 190 x 211 x 343 x 487 = 13393347380

Therefore, the lowest common multiple of 380,422,343,974 is 13393347380.

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.

380 x 422 x 343 x 974 = 53573389520

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.

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

422 : 1, 2, 211, 422

343 : 1, 7, 49, 343

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,422,343,974, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

422:2x 211

343:7x 7x 7

974:2x 487

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 = 53573389520/(1x4)

LCM = 53573389520/4

LCM = 13393347380

Thus, we can understand that the LCM of 380,422,343,974 is 13393347380.

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

• LCM of 597, 294, 745, 597
• LCM of 727, 141, 466, 371
• LCM of 661, 368, 767, 382
• LCM of 562, 277, 687, 541
• LCM of 419, 875, 303, 746

1. What is the LCM of 380, 422, 343, 974?

Answer: LCM of 380, 422, 343, 974 is 13393347380.

2. How to calculate the LCM of 380, 422, 343, 974?

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 380, 422, 343, 974.

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}.