Given numbers are 395,490,614,753

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

The LCM of 395,490,614,753 is 8948629410.

Find LCM of 395,490,614,753 with Prime Factorization

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

2 x 5 x 79 x 49 x 307 x 753 = 8948629410

Therefore, the lowest common multiple of 395,490,614,753 is 8948629410.

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.

395 x 490 x 614 x 753 = 89486294100

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.

395 : 1, 5, 79, 395

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

614 : 1, 2, 307, 614

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,490,614,753, is 1.

Now, the common factors can be found like this.

395:5x 79

490:2x 5x 7x 7

614:2x 307

753:3x 251

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 89486294100/(1x10)

LCM = 89486294100/10

LCM = 8948629410

Thus, we can understand that the LCM of 395,490,614,753 is 8948629410.

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

• LCM of 232, 770, 384, 513
• LCM of 786, 114, 654, 520
• LCM of 390, 122, 195, 436
• LCM of 606, 694, 463, 626
• LCM of 428, 286, 645, 690

1. What is the LCM of 395, 490, 614, 753?

Answer: LCM of 395, 490, 614, 753 is 8948629410.

2. How to calculate the LCM of 395, 490, 614, 753?

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 395, 490, 614, 753.

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}.