Given numbers are 514,478,646,524

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

The LCM of 514,478,646,524 is 10395965596.

Find LCM of 514,478,646,524 with Prime Factorization

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

2 x 257 x 239 x 323 x 262 = 10395965596

Therefore, the lowest common multiple of 514,478,646,524 is 10395965596.

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.

514 x 478 x 646 x 524 = 83167724768

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.

514 : 1, 2, 257, 514

478 : 1, 2, 239, 478

646 : 1, 2, 17, 19, 34, 38, 323, 646

524 : 1, 2, 4, 131, 262, 524

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,478,646,524, is 2.

Now, the common factors can be found like this.

514:2x 257

478:2x 239

646:2x 17x 19

524:2x 2x 131

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 = 83167724768/(2x4)

LCM = 83167724768/8

LCM = 10395965596

Thus, we can understand that the LCM of 514,478,646,524 is 10395965596.

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

• LCM of 327, 815, 597, 134
• LCM of 722, 349, 486, 837
• LCM of 792, 382, 252, 777
• LCM of 983, 950, 181, 182
• LCM of 664, 962, 818, 726

1. What is the LCM of 514, 478, 646, 524?

Answer: LCM of 514, 478, 646, 524 is 10395965596.

2. How to calculate the LCM of 514, 478, 646, 524?

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 514, 478, 646, 524.

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}.