Given numbers are 312,676,349,572,138

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

The LCM of 312,676,349,572,138 is 358132632.

Find LCM of 312,676,349,572,138 with Prime Factorization

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

2 x 2 x 3 x 13 x 2 x 13 x 349 x 11 x 23 = 358132632

Therefore, the lowest common multiple of 312,676,349,572,138 is 358132632.

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.

312 x 676 x 349 x 572 x 138 = 5810343821568

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.

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

349 : 1, 349

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,676,349,572,138, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

676:2x 2x 13x 13

349:349

572:2x 2x 11x 13

138:2x 3x 23

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 3x 13x 13 = 16224

Therefore, the value for common factors is 16224.

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 = 5810343821568/(1x16224)

LCM = 5810343821568/16224

LCM = 358132632

Thus, we can understand that the LCM of 312,676,349,572,138 is 358132632.

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

• LCM of 589, 542, 765, 841, 193
• LCM of 872, 863, 420, 792, 589
• LCM of 771, 897, 999, 896, 472
• LCM of 454, 973, 696, 879, 497
• LCM of 200, 733, 179, 290, 244

1. What is the LCM of 312, 676, 349, 572, 138?

Answer: LCM of 312, 676, 349, 572, 138 is 358132632.

2. How to calculate the LCM of 312, 676, 349, 572, 138?

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 312, 676, 349, 572, 138.

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}.