Given numbers are 472,498,251,219,975

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

The LCM of 472,498,251,219,975 is 699876301800.

Find LCM of 472,498,251,219,975 with Prime Factorization

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

2 x 3 x 236 x 83 x 251 x 73 x 325 = 699876301800

Therefore, the lowest common multiple of 472,498,251,219,975 is 699876301800.

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.

472 x 498 x 251 x 219 x 975 = 12597773432400

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.

472 : 1, 2, 4, 8, 59, 118, 236, 472

498 : 1, 2, 3, 6, 83, 166, 249, 498

251 : 1, 251

219 : 1, 3, 73, 219

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,498,251,219,975, is 1.

Now, the common factors can be found like this.

472:2x 2x 2x 59

498:2x 3x 83

251:251

219:3x 73

975:3x 5x 5x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 12597773432400/(1x18)

LCM = 12597773432400/18

LCM = 699876301800

Thus, we can understand that the LCM of 472,498,251,219,975 is 699876301800.

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

• LCM of 256, 493, 256, 467, 845
• LCM of 781, 342, 474, 699, 789
• LCM of 879, 798, 789, 479, 625
• LCM of 915, 596, 484, 976, 139
• LCM of 428, 155, 580, 813, 376

1. What is the LCM of 472, 498, 251, 219, 975?

Answer: LCM of 472, 498, 251, 219, 975 is 699876301800.

2. How to calculate the LCM of 472, 498, 251, 219, 975?

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 472, 498, 251, 219, 975.

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}.