Given numbers are 252,748,411,199,264

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

The LCM of 252,748,411,199,264 is 2569483224.

Find LCM of 252,748,411,199,264 with Prime Factorization

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

2 x 2 x 3 x 11 x 21 x 17 x 137 x 199 x 2 = 2569483224

Therefore, the lowest common multiple of 252,748,411,199,264 is 2569483224.

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.

252 x 748 x 411 x 199 x 264 = 4070061426816

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

411 : 1, 3, 137, 411

199 : 1, 199

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,748,411,199,264, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

748:2x 2x 11x 17

411:3x 137

199:199

264:2x 2x 2x 3x 11

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 2x 3x 3x 11 = 1584

Therefore, the value for common factors is 1584.

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 = 4070061426816/(1x1584)

LCM = 4070061426816/1584

LCM = 2569483224

Thus, we can understand that the LCM of 252,748,411,199,264 is 2569483224.

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

• LCM of 186, 395, 649, 179, 700
• LCM of 338, 644, 105, 627, 928
• LCM of 724, 274, 171, 439, 336
• LCM of 904, 789, 898, 761, 588
• LCM of 200, 985, 309, 823, 966

1. What is the LCM of 252, 748, 411, 199, 264?

Answer: LCM of 252, 748, 411, 199, 264 is 2569483224.

2. How to calculate the LCM of 252, 748, 411, 199, 264?

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 252, 748, 411, 199, 264.

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}.