Given numbers are 392,590,506,167,757

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

The LCM of 392,590,506,167,757 is 3698630569480.

Find LCM of 392,590,506,167,757 with Prime Factorization

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

2 x 196 x 295 x 253 x 167 x 757 = 3698630569480

Therefore, the lowest common multiple of 392,590,506,167,757 is 3698630569480.

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.

392 x 590 x 506 x 167 x 757 = 14794522277920

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

590 : 1, 2, 5, 10, 59, 118, 295, 590

506 : 1, 2, 11, 22, 23, 46, 253, 506

167 : 1, 167

757 : 1, 757

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,590,506,167,757, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

590:2x 5x 59

506:2x 11x 23

167:167

757:757

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 = 14794522277920/(1x4)

LCM = 14794522277920/4

LCM = 3698630569480

Thus, we can understand that the LCM of 392,590,506,167,757 is 3698630569480.

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

• LCM of 361, 518, 995, 835, 289
• LCM of 986, 252, 493, 245, 260
• LCM of 449, 776, 815, 462, 431
• LCM of 312, 375, 229, 916, 712
• LCM of 522, 502, 190, 469, 122

1. What is the LCM of 392, 590, 506, 167, 757?

Answer: LCM of 392, 590, 506, 167, 757 is 3698630569480.

2. How to calculate the LCM of 392, 590, 506, 167, 757?

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 392, 590, 506, 167, 757.

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}.