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LCM of 908, 129, 684, 988, 767

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


Find the LCM of 908, 129, 684, 988, 767 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 908, 129, 684, 988, 767. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 908,129,684,988,767

Given numbers are 908,129,684,988,767

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

The LCM of 908,129,684,988,767 is 5120893908.

Find LCM of 908,129,684,988,767 with Prime Factorization


2 908, 129, 684, 988, 767
2 454, 129, 342, 494, 767
3 227, 129, 171, 247, 767
13 227, 43, 57, 247, 767
19 227, 43, 57, 19, 59
227, 43, 3, 1, 59

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

2 x 2 x 3 x 13 x 19 x 227 x 43 x 3 x 1 x 59 = 5120893908

Therefore, the lowest common multiple of 908,129,684,988,767 is 5120893908.

LCM Formula to Find Lowest Common Multiple of 908,129,684,988,767

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.

908 x 129 x 684 x 988 x 767 = 60713318173248

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.

908 : 1, 2, 4, 227, 454, 908

129 : 1, 3, 43, 129

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

767 : 1, 13, 59, 767

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,129,684,988,767, is 1.

Now, the common factors can be found like this.

908:2x 2x 227

129:3x 43

684:2x 2x 3x 3x 19

988:2x 2x 13x 19

767:13x 59

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 3x 13x 19 = 11856

Therefore, the value for common factors is 11856.

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 = 60713318173248/(1x11856)

LCM = 60713318173248/11856

LCM = 5120893908

Thus, we can understand that the LCM of 908,129,684,988,767 is 5120893908.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 908, 129, 684, 988, 767

1. What is the LCM of 908, 129, 684, 988, 767?

Answer: LCM of 908, 129, 684, 988, 767 is 5120893908.

2. How to calculate the LCM of 908, 129, 684, 988, 767?

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 908, 129, 684, 988, 767.

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}.