Given numbers are 630,461,924,253

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

The LCM of 630,461,924,253 is 146957580.

Find LCM of 630,461,924,253 with Prime Factorization

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

2 x 3 x 7 x 11 x 15 x 461 x 2 x 23 = 146957580

Therefore, the lowest common multiple of 630,461,924,253 is 146957580.

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.

630 x 461 x 924 x 253 = 67894401960

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.

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

461 : 1, 461

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,461,924,253, is 1.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

461:461

924:2x 2x 3x 7x 11

253:11x 23

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 7x 11 = 462

Therefore, the value for common factors is 462.

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 = 67894401960/(1x462)

LCM = 67894401960/462

LCM = 146957580

Thus, we can understand that the LCM of 630,461,924,253 is 146957580.

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

• LCM of 746, 222, 904, 167
• LCM of 426, 198, 638, 708
• LCM of 116, 569, 935, 743
• LCM of 480, 510, 265, 807
• LCM of 345, 688, 929, 397

1. What is the LCM of 630, 461, 924, 253?

Answer: LCM of 630, 461, 924, 253 is 146957580.

2. How to calculate the LCM of 630, 461, 924, 253?

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 630, 461, 924, 253.

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}.