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LCM of 970, 257, 638, 466, 601

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


Find the LCM of 970, 257, 638, 466, 601 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 970, 257, 638, 466, 601. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 970,257,638,466,601

Given numbers are 970,257,638,466,601

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

The LCM of 970,257,638,466,601 is 11135915675830.

Find LCM of 970,257,638,466,601 with Prime Factorization


2 970, 257, 638, 466, 601
485, 257, 319, 233, 601

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

2 x 485 x 257 x 319 x 233 x 601 = 11135915675830

Therefore, the lowest common multiple of 970,257,638,466,601 is 11135915675830.

LCM Formula to Find Lowest Common Multiple of 970,257,638,466,601

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.

970 x 257 x 638 x 466 x 601 = 44543662703320

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.

970 : 1, 2, 5, 10, 97, 194, 485, 970

257 : 1, 257

638 : 1, 2, 11, 22, 29, 58, 319, 638

466 : 1, 2, 233, 466

601 : 1, 601

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,257,638,466,601, is 1.

Now, the common factors can be found like this.

970:2x 5x 97

257:257

638:2x 11x 29

466:2x 233

601:601

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 = 44543662703320/(1x4)

LCM = 44543662703320/4

LCM = 11135915675830

Thus, we can understand that the LCM of 970,257,638,466,601 is 11135915675830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 970, 257, 638, 466, 601

1. What is the LCM of 970, 257, 638, 466, 601?

Answer: LCM of 970, 257, 638, 466, 601 is 11135915675830.

2. How to calculate the LCM of 970, 257, 638, 466, 601?

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 970, 257, 638, 466, 601.

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}.