Given numbers are 418,775,528,845,974

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

The LCM of 418,775,528,845,974 is 639889364400.

Find LCM of 418,775,528,845,974 with Prime Factorization

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

2 x 5 x 11 x 19 x 155 x 24 x 169 x 487 = 639889364400

Therefore, the lowest common multiple of 418,775,528,845,974 is 639889364400.

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.

418 x 775 x 528 x 845 x 974 = 140775660168000

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

775 : 1, 5, 25, 31, 155, 775

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

845 : 1, 5, 13, 65, 169, 845

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,775,528,845,974, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

775:5x 5x 31

528:2x 2x 2x 2x 3x 11

845:5x 13x 13

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 2x 5x 11 = 220

Therefore, the value for common factors is 220.

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 = 140775660168000/(1x220)

LCM = 140775660168000/220

LCM = 639889364400

Thus, we can understand that the LCM of 418,775,528,845,974 is 639889364400.

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

• LCM of 960, 989, 208, 325, 968
• LCM of 355, 300, 443, 234, 257
• LCM of 478, 127, 671, 115, 594
• LCM of 899, 559, 870, 324, 405
• LCM of 363, 213, 714, 790, 830

1. What is the LCM of 418, 775, 528, 845, 974?

Answer: LCM of 418, 775, 528, 845, 974 is 639889364400.

2. How to calculate the LCM of 418, 775, 528, 845, 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 418, 775, 528, 845, 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}.