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LCM of 976, 709, 527, 377, 686

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


Find the LCM of 976, 709, 527, 377, 686 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 976, 709, 527, 377, 686. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 976,709,527,377,686

Given numbers are 976,709,527,377,686

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

The LCM of 976,709,527,377,686 is 47156562373648.

Find LCM of 976,709,527,377,686 with Prime Factorization


2 976, 709, 527, 377, 686
488, 709, 527, 377, 343

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

2 x 488 x 709 x 527 x 377 x 343 = 47156562373648

Therefore, the lowest common multiple of 976,709,527,377,686 is 47156562373648.

LCM Formula to Find Lowest Common Multiple of 976,709,527,377,686

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.

976 x 709 x 527 x 377 x 686 = 94313124747296

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.

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

709 : 1, 709

527 : 1, 17, 31, 527

377 : 1, 13, 29, 377

686 : 1, 2, 7, 14, 49, 98, 343, 686

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,709,527,377,686, is 1.

Now, the common factors can be found like this.

976:2x 2x 2x 2x 61

709:709

527:17x 31

377:13x 29

686:2x 7x 7x 7

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 = 94313124747296/(1x2)

LCM = 94313124747296/2

LCM = 47156562373648

Thus, we can understand that the LCM of 976,709,527,377,686 is 47156562373648.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 976, 709, 527, 377, 686

1. What is the LCM of 976, 709, 527, 377, 686?

Answer: LCM of 976, 709, 527, 377, 686 is 47156562373648.

2. How to calculate the LCM of 976, 709, 527, 377, 686?

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 976, 709, 527, 377, 686.

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}.