Given numbers are 385,502,224,988,252

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

The LCM of 385,502,224,988,252 is 6874227360.

Find LCM of 385,502,224,988,252 with Prime Factorization

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

2 x 2 x 7 x 55 x 251 x 8 x 247 x 9 = 6874227360

Therefore, the lowest common multiple of 385,502,224,988,252 is 6874227360.

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.

385 x 502 x 224 x 988 x 252 = 10778788500480

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.

385 : 1, 5, 7, 11, 35, 55, 77, 385

502 : 1, 2, 251, 502

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,502,224,988,252, is 1.

Now, the common factors can be found like this.

385:5x 7x 11

502:2x 251

224:2x 2x 2x 2x 2x 7

988:2x 2x 13x 19

252:2x 2x 3x 3x 7

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 2x 7x 7 = 1568

Therefore, the value for common factors is 1568.

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 = 10778788500480/(1x1568)

LCM = 10778788500480/1568

LCM = 6874227360

Thus, we can understand that the LCM of 385,502,224,988,252 is 6874227360.

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

• LCM of 231, 401, 607, 838, 160
• LCM of 508, 775, 899, 649, 444
• LCM of 476, 745, 997, 167, 506
• LCM of 941, 947, 967, 326, 328
• LCM of 452, 136, 988, 238, 776

1. What is the LCM of 385, 502, 224, 988, 252?

Answer: LCM of 385, 502, 224, 988, 252 is 6874227360.

2. How to calculate the LCM of 385, 502, 224, 988, 252?

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 385, 502, 224, 988, 252.

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}.