Given numbers are 468,272,902,451,577

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

The LCM of 468,272,902,451,577 is 8281464048.

Find LCM of 468,272,902,451,577 with Prime Factorization

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

2 x 2 x 11 x 41 x 117 x 68 x 1 x 1 x 577 = 8281464048

Therefore, the lowest common multiple of 468,272,902,451,577 is 8281464048.

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.

468 x 272 x 902 x 451 x 577 = 29879522285184

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

902 : 1, 2, 11, 22, 41, 82, 451, 902

451 : 1, 11, 41, 451

577 : 1, 577

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,272,902,451,577, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

272:2x 2x 2x 2x 17

902:2x 11x 41

451:11x 41

577:577

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 2x 11x 41 = 3608

Therefore, the value for common factors is 3608.

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 = 29879522285184/(1x3608)

LCM = 29879522285184/3608

LCM = 8281464048

Thus, we can understand that the LCM of 468,272,902,451,577 is 8281464048.

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

• LCM of 670, 817, 137, 692, 214
• LCM of 866, 539, 343, 928, 319
• LCM of 275, 325, 566, 834, 214
• LCM of 909, 242, 226, 945, 580
• LCM of 602, 266, 278, 207, 333

1. What is the LCM of 468, 272, 902, 451, 577?

Answer: LCM of 468, 272, 902, 451, 577 is 8281464048.

2. How to calculate the LCM of 468, 272, 902, 451, 577?

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 468, 272, 902, 451, 577.

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}.