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LCM of 751, 680, 979, 565

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


Find the LCM of 751, 680, 979, 565 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 751, 680, 979, 565. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 751,680,979,565

Given numbers are 751,680,979,565

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

The LCM of 751,680,979,565 is 56494996360.

Find LCM of 751,680,979,565 with Prime Factorization


5 751, 680, 979, 565
751, 136, 979, 113

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

5 x 751 x 136 x 979 x 113 = 56494996360

Therefore, the lowest common multiple of 751,680,979,565 is 56494996360.

LCM Formula to Find Lowest Common Multiple of 751,680,979,565

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.

751 x 680 x 979 x 565 = 282474981800

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.

751 : 1, 751

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

979 : 1, 11, 89, 979

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,680,979,565, is 1.

Now, the common factors can be found like this.

751:751

680:2x 2x 2x 5x 17

979:11x 89

565:5x 113

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

5 = 5

Therefore, the value for common factors is 5.

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 = 282474981800/(1x5)

LCM = 282474981800/5

LCM = 56494996360

Thus, we can understand that the LCM of 751,680,979,565 is 56494996360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 751, 680, 979, 565

1. What is the LCM of 751, 680, 979, 565?

Answer: LCM of 751, 680, 979, 565 is 56494996360.

2. How to calculate the LCM of 751, 680, 979, 565?

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 751, 680, 979, 565.

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}.