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LCM of 709, 841, 712, 707, 646

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


Find the LCM of 709, 841, 712, 707, 646 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 709, 841, 712, 707, 646. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 709,841,712,707,646

Given numbers are 709,841,712,707,646

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

The LCM of 709,841,712,707,646 is 96949184597608.

Find LCM of 709,841,712,707,646 with Prime Factorization


2 709, 841, 712, 707, 646
709, 841, 356, 707, 323

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

2 x 709 x 841 x 356 x 707 x 323 = 96949184597608

Therefore, the lowest common multiple of 709,841,712,707,646 is 96949184597608.

LCM Formula to Find Lowest Common Multiple of 709,841,712,707,646

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.

709 x 841 x 712 x 707 x 646 = 193898369195216

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.

709 : 1, 709

841 : 1, 29, 841

712 : 1, 2, 4, 8, 89, 178, 356, 712

707 : 1, 7, 101, 707

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,841,712,707,646, is 1.

Now, the common factors can be found like this.

709:709

841:29x 29

712:2x 2x 2x 89

707:7x 101

646:2x 17x 19

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

2 = 2

Therefore, the value for common factors is 2.

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 = 193898369195216/(1x2)

LCM = 193898369195216/2

LCM = 96949184597608

Thus, we can understand that the LCM of 709,841,712,707,646 is 96949184597608.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 709, 841, 712, 707, 646

1. What is the LCM of 709, 841, 712, 707, 646?

Answer: LCM of 709, 841, 712, 707, 646 is 96949184597608.

2. How to calculate the LCM of 709, 841, 712, 707, 646?

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 709, 841, 712, 707, 646.

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}.