Given numbers are 461,470,371,974

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

The LCM of 461,470,371,974 is 39147285590.

Find LCM of 461,470,371,974 with Prime Factorization

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

2 x 461 x 235 x 371 x 487 = 39147285590

Therefore, the lowest common multiple of 461,470,371,974 is 39147285590.

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.

461 x 470 x 371 x 974 = 78294571180

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.

461 : 1, 461

470 : 1, 2, 5, 10, 47, 94, 235, 470

371 : 1, 7, 53, 371

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,470,371,974, is 1.

Now, the common factors can be found like this.

461:461

470:2x 5x 47

371:7x 53

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 78294571180/(1x2)

LCM = 78294571180/2

LCM = 39147285590

Thus, we can understand that the LCM of 461,470,371,974 is 39147285590.

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

• LCM of 740, 152, 552, 577
• LCM of 922, 400, 476, 804
• LCM of 831, 986, 453, 803
• LCM of 385, 578, 587, 287
• LCM of 667, 435, 296, 986

1. What is the LCM of 461, 470, 371, 974?

Answer: LCM of 461, 470, 371, 974 is 39147285590.

2. How to calculate the LCM of 461, 470, 371, 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 461, 470, 371, 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}.