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LCM of 149, 494, 762, 317

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 149, 494, 762, 317 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 149, 494, 762, 317. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 149,494,762,317

Given numbers are 149,494,762,317

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

The LCM of 149,494,762,317 is 8889911862.

Find LCM of 149,494,762,317 with Prime Factorization


2 149, 494, 762, 317
149, 247, 381, 317

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

2 x 149 x 247 x 381 x 317 = 8889911862

Therefore, the lowest common multiple of 149,494,762,317 is 8889911862.

LCM Formula to Find Lowest Common Multiple of 149,494,762,317

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.

149 x 494 x 762 x 317 = 17779823724

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.

149 : 1, 149

494 : 1, 2, 13, 19, 26, 38, 247, 494

762 : 1, 2, 3, 6, 127, 254, 381, 762

317 : 1, 317

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,494,762,317, is 1.

Now, the common factors can be found like this.

149:149

494:2x 13x 19

762:2x 3x 127

317:317

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

2 = 2

Therefore, the value for common factors is 2.

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 = 17779823724/(1x2)

LCM = 17779823724/2

LCM = 8889911862

Thus, we can understand that the LCM of 149,494,762,317 is 8889911862.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 149, 494, 762, 317

1. What is the LCM of 149, 494, 762, 317?

Answer: LCM of 149, 494, 762, 317 is 8889911862.

2. How to calculate the LCM of 149, 494, 762, 317?

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 149, 494, 762, 317.

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}.