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LCM of 758, 611, 246, 970

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


Find the LCM of 758, 611, 246, 970 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 758, 611, 246, 970. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 758,611,246,970

Given numbers are 758,611,246,970

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

The LCM of 758,611,246,970 is 27628497390.

Find LCM of 758,611,246,970 with Prime Factorization


2 758, 611, 246, 970
379, 611, 123, 485

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

2 x 379 x 611 x 123 x 485 = 27628497390

Therefore, the lowest common multiple of 758,611,246,970 is 27628497390.

LCM Formula to Find Lowest Common Multiple of 758,611,246,970

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.

758 x 611 x 246 x 970 = 110513989560

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.

758 : 1, 2, 379, 758

611 : 1, 13, 47, 611

246 : 1, 2, 3, 6, 41, 82, 123, 246

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,611,246,970, is 1.

Now, the common factors can be found like this.

758:2x 379

611:13x 47

246:2x 3x 41

970:2x 5x 97

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 = 110513989560/(1x4)

LCM = 110513989560/4

LCM = 27628497390

Thus, we can understand that the LCM of 758,611,246,970 is 27628497390.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 758, 611, 246, 970

1. What is the LCM of 758, 611, 246, 970?

Answer: LCM of 758, 611, 246, 970 is 27628497390.

2. How to calculate the LCM of 758, 611, 246, 970?

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 758, 611, 246, 970.

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}.