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LCM of 715, 839, 839, 534, 722

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


Find the LCM of 715, 839, 839, 534, 722 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 715, 839, 839, 534, 722. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 715,839,839,534,722

Given numbers are 715,839,839,534,722

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

The LCM of 715,839,839,534,722 is 115642230990.

Find LCM of 715,839,839,534,722 with Prime Factorization


2 715, 839, 839, 534, 722
839 715, 839, 839, 267, 361
715, 1, 1, 267, 361

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

2 x 839 x 715 x 1 x 1 x 267 x 361 = 115642230990

Therefore, the lowest common multiple of 715,839,839,534,722 is 115642230990.

LCM Formula to Find Lowest Common Multiple of 715,839,839,534,722

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.

715 x 839 x 839 x 534 x 722 = 194047663601220

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.

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

839 : 1, 839

839 : 1, 839

534 : 1, 2, 3, 6, 89, 178, 267, 534

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,839,839,534,722, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

839:839

839:839

534:2x 3x 89

722:2x 19x 19

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

2x 839 = 1678

Therefore, the value for common factors is 1678.

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 = 194047663601220/(1x1678)

LCM = 194047663601220/1678

LCM = 115642230990

Thus, we can understand that the LCM of 715,839,839,534,722 is 115642230990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 715, 839, 839, 534, 722

1. What is the LCM of 715, 839, 839, 534, 722?

Answer: LCM of 715, 839, 839, 534, 722 is 115642230990.

2. How to calculate the LCM of 715, 839, 839, 534, 722?

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 715, 839, 839, 534, 722.

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}.