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LCM of 748, 914, 542, 793, 707

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


Find the LCM of 748, 914, 542, 793, 707 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 748, 914, 542, 793, 707. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 748,914,542,793,707

Given numbers are 748,914,542,793,707

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

The LCM of 748,914,542,793,707 is 51937338408956.

Find LCM of 748,914,542,793,707 with Prime Factorization


2 748, 914, 542, 793, 707
374, 457, 271, 793, 707

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

2 x 374 x 457 x 271 x 793 x 707 = 51937338408956

Therefore, the lowest common multiple of 748,914,542,793,707 is 51937338408956.

LCM Formula to Find Lowest Common Multiple of 748,914,542,793,707

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.

748 x 914 x 542 x 793 x 707 = 207749353635824

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

914 : 1, 2, 457, 914

542 : 1, 2, 271, 542

793 : 1, 13, 61, 793

707 : 1, 7, 101, 707

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,914,542,793,707, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

914:2x 457

542:2x 271

793:13x 61

707:7x 101

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 = 207749353635824/(1x4)

LCM = 207749353635824/4

LCM = 51937338408956

Thus, we can understand that the LCM of 748,914,542,793,707 is 51937338408956.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 748, 914, 542, 793, 707

1. What is the LCM of 748, 914, 542, 793, 707?

Answer: LCM of 748, 914, 542, 793, 707 is 51937338408956.

2. How to calculate the LCM of 748, 914, 542, 793, 707?

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 748, 914, 542, 793, 707.

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}.