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LCM of 616, 538, 760, 715

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


Find the LCM of 616, 538, 760, 715 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 616, 538, 760, 715. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 616,538,760,715

Given numbers are 616,538,760,715

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

The LCM of 616,538,760,715 is 204644440.

Find LCM of 616,538,760,715 with Prime Factorization


2 616, 538, 760, 715
2 308, 269, 380, 715
2 154, 269, 190, 715
5 77, 269, 95, 715
11 77, 269, 19, 143
7, 269, 19, 13

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

2 x 2 x 2 x 5 x 11 x 7 x 269 x 19 x 13 = 204644440

Therefore, the lowest common multiple of 616,538,760,715 is 204644440.

LCM Formula to Find Lowest Common Multiple of 616,538,760,715

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.

616 x 538 x 760 x 715 = 180087107200

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.

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

538 : 1, 2, 269, 538

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,538,760,715, is 1.

Now, the common factors can be found like this.

616:2x 2x 2x 7x 11

538:2x 269

760:2x 2x 2x 5x 19

715:5x 11x 13

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

2x 2x 2x 2x 5x 11 = 880

Therefore, the value for common factors is 880.

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 = 180087107200/(1x880)

LCM = 180087107200/880

LCM = 204644440

Thus, we can understand that the LCM of 616,538,760,715 is 204644440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 616, 538, 760, 715

1. What is the LCM of 616, 538, 760, 715?

Answer: LCM of 616, 538, 760, 715 is 204644440.

2. How to calculate the LCM of 616, 538, 760, 715?

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 616, 538, 760, 715.

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}.