Given numbers are 490,299,377,117

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

The LCM of 490,299,377,117 is 38239110.

Find LCM of 490,299,377,117 with Prime Factorization

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

13 x 490 x 23 x 29 x 9 = 38239110

Therefore, the lowest common multiple of 490,299,377,117 is 38239110.

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.

490 x 299 x 377 x 117 = 6462409590

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.

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

299 : 1, 13, 23, 299

377 : 1, 13, 29, 377

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,299,377,117, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

299:13x 23

377:13x 29

117:3x 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.

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 6462409590/(1x169)

LCM = 6462409590/169

LCM = 38239110

Thus, we can understand that the LCM of 490,299,377,117 is 38239110.

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

• LCM of 145, 243, 878, 843
• LCM of 866, 819, 787, 667
• LCM of 977, 209, 558, 879
• LCM of 901, 525, 173, 321
• LCM of 178, 656, 559, 836

1. What is the LCM of 490, 299, 377, 117?

Answer: LCM of 490, 299, 377, 117 is 38239110.

2. How to calculate the LCM of 490, 299, 377, 117?

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 490, 299, 377, 117.

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}.