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LCM of 879, 927, 713, 776, 388

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


Find the LCM of 879, 927, 713, 776, 388 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 879, 927, 713, 776, 388. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 879,927,713,776,388

Given numbers are 879,927,713,776,388

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

The LCM of 879,927,713,776,388 is 150279106968.

Find LCM of 879,927,713,776,388 with Prime Factorization


2 879, 927, 713, 776, 388
2 879, 927, 713, 388, 194
3 879, 927, 713, 97, 194
97 293, 309, 713, 97, 194
293, 309, 713, 1, 2

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

2 x 2 x 3 x 97 x 293 x 309 x 713 x 1 x 2 = 150279106968

Therefore, the lowest common multiple of 879,927,713,776,388 is 150279106968.

LCM Formula to Find Lowest Common Multiple of 879,927,713,776,388

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.

879 x 927 x 713 x 776 x 388 = 174924880510752

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.

879 : 1, 3, 293, 879

927 : 1, 3, 9, 103, 309, 927

713 : 1, 23, 31, 713

776 : 1, 2, 4, 8, 97, 194, 388, 776

388 : 1, 2, 4, 97, 194, 388

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,927,713,776,388, is 1.

Now, the common factors can be found like this.

879:3x 293

927:3x 3x 103

713:23x 31

776:2x 2x 2x 97

388:2x 2x 97

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 3x 97 = 1164

Therefore, the value for common factors is 1164.

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 = 174924880510752/(1x1164)

LCM = 174924880510752/1164

LCM = 150279106968

Thus, we can understand that the LCM of 879,927,713,776,388 is 150279106968.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 879, 927, 713, 776, 388

1. What is the LCM of 879, 927, 713, 776, 388?

Answer: LCM of 879, 927, 713, 776, 388 is 150279106968.

2. How to calculate the LCM of 879, 927, 713, 776, 388?

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 879, 927, 713, 776, 388.

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}.