Given numbers are 479,490,614,428

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

The LCM of 479,490,614,428 is 15419977580.

Find LCM of 479,490,614,428 with Prime Factorization

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

2 x 479 x 245 x 307 x 214 = 15419977580

Therefore, the lowest common multiple of 479,490,614,428 is 15419977580.

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.

479 x 490 x 614 x 428 = 61679910320

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.

479 : 1, 479

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

614 : 1, 2, 307, 614

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,490,614,428, is 1.

Now, the common factors can be found like this.

479:479

490:2x 5x 7x 7

614:2x 307

428:2x 2x 107

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 61679910320/(1x4)

LCM = 61679910320/4

LCM = 15419977580

Thus, we can understand that the LCM of 479,490,614,428 is 15419977580.

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

• LCM of 788, 598, 601, 208
• LCM of 222, 970, 890, 670
• LCM of 590, 181, 716, 786
• LCM of 472, 592, 201, 399
• LCM of 105, 241, 787, 121

1. What is the LCM of 479, 490, 614, 428?

Answer: LCM of 479, 490, 614, 428 is 15419977580.

2. How to calculate the LCM of 479, 490, 614, 428?

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 479, 490, 614, 428.

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}.