Given numbers are 247,312,814,116,572

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

The LCM of 247,312,814,116,572 is 69968184.

Find LCM of 247,312,814,116,572 with Prime Factorization

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

2 x 2 x 11 x 13 x 19 x 6 x 37 x 29 x 1 = 69968184

Therefore, the lowest common multiple of 247,312,814,116,572 is 69968184.

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.

247 x 312 x 814 x 116 x 572 = 4162267329792

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.

247 : 1, 13, 19, 247

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

116 : 1, 2, 4, 29, 58, 116

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,312,814,116,572, is 1.

Now, the common factors can be found like this.

247:13x 19

312:2x 2x 2x 3x 13

814:2x 11x 37

116:2x 2x 29

572:2x 2x 11x 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 2x 2x 2x 2x 11x 13x 13 = 59488

Therefore, the value for common factors is 59488.

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 = 4162267329792/(1x59488)

LCM = 4162267329792/59488

LCM = 69968184

Thus, we can understand that the LCM of 247,312,814,116,572 is 69968184.

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

• LCM of 387, 630, 920, 956, 224
• LCM of 175, 776, 246, 146, 100
• LCM of 477, 818, 765, 342, 610
• LCM of 981, 566, 856, 577, 566
• LCM of 375, 898, 238, 566, 266

1. What is the LCM of 247, 312, 814, 116, 572?

Answer: LCM of 247, 312, 814, 116, 572 is 69968184.

2. How to calculate the LCM of 247, 312, 814, 116, 572?

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 247, 312, 814, 116, 572.

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}.