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LCM of 608, 877, 228, 972

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


Find the LCM of 608, 877, 228, 972 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 608, 877, 228, 972. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 608,877,228,972

Given numbers are 608,877,228,972

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

The LCM of 608,877,228,972 is 129571488.

Find LCM of 608,877,228,972 with Prime Factorization


2 608, 877, 228, 972
2 304, 877, 114, 486
3 152, 877, 57, 243
19 152, 877, 19, 81
8, 877, 1, 81

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

2 x 2 x 3 x 19 x 8 x 877 x 1 x 81 = 129571488

Therefore, the lowest common multiple of 608,877,228,972 is 129571488.

LCM Formula to Find Lowest Common Multiple of 608,877,228,972

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.

608 x 877 x 228 x 972 = 118169197056

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.

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

877 : 1, 877

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,877,228,972, is 1.

Now, the common factors can be found like this.

608:2x 2x 2x 2x 2x 19

877:877

228:2x 2x 3x 19

972:2x 2x 3x 3x 3x 3x 3

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 19 = 912

Therefore, the value for common factors is 912.

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 = 118169197056/(1x912)

LCM = 118169197056/912

LCM = 129571488

Thus, we can understand that the LCM of 608,877,228,972 is 129571488.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 608, 877, 228, 972

1. What is the LCM of 608, 877, 228, 972?

Answer: LCM of 608, 877, 228, 972 is 129571488.

2. How to calculate the LCM of 608, 877, 228, 972?

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 608, 877, 228, 972.

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}.