Given numbers are 517,142,235,312

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

The LCM of 517,142,235,312 is 57262920.

Find LCM of 517,142,235,312 with Prime Factorization

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

2 x 47 x 11 x 71 x 5 x 156 = 57262920

Therefore, the lowest common multiple of 517,142,235,312 is 57262920.

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.

517 x 142 x 235 x 312 = 5382714480

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.

517 : 1, 11, 47, 517

142 : 1, 2, 71, 142

235 : 1, 5, 47, 235

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,142,235,312, is 1.

Now, the common factors can be found like this.

517:11x 47

142:2x 71

235:5x 47

312:2x 2x 2x 3x 13

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

2x 47 = 94

Therefore, the value for common factors is 94.

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 = 5382714480/(1x94)

LCM = 5382714480/94

LCM = 57262920

Thus, we can understand that the LCM of 517,142,235,312 is 57262920.

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

• LCM of 128, 753, 911, 934
• LCM of 271, 962, 882, 629
• LCM of 631, 970, 423, 848
• LCM of 269, 933, 257, 869
• LCM of 675, 787, 527, 494

1. What is the LCM of 517, 142, 235, 312?

Answer: LCM of 517, 142, 235, 312 is 57262920.

2. How to calculate the LCM of 517, 142, 235, 312?

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 517, 142, 235, 312.

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}.