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LCM of 960, 979, 714, 969

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


Find the LCM of 960, 979, 714, 969 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 960, 979, 714, 969. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 960,979,714,969

Given numbers are 960,979,714,969

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

The LCM of 960,979,714,969 is 2124978240.

Find LCM of 960,979,714,969 with Prime Factorization


2 960, 979, 714, 969
3 480, 979, 357, 969
17 160, 979, 119, 323
160, 979, 7, 19

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

2 x 3 x 17 x 160 x 979 x 7 x 19 = 2124978240

Therefore, the lowest common multiple of 960,979,714,969 is 2124978240.

LCM Formula to Find Lowest Common Multiple of 960,979,714,969

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.

960 x 979 x 714 x 969 = 650243341440

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

979 : 1, 11, 89, 979

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,979,714,969, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

979:11x 89

714:2x 3x 7x 17

969:3x 17x 19

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

2x 3x 3x 17 = 306

Therefore, the value for common factors is 306.

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 = 650243341440/(1x306)

LCM = 650243341440/306

LCM = 2124978240

Thus, we can understand that the LCM of 960,979,714,969 is 2124978240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 960, 979, 714, 969

1. What is the LCM of 960, 979, 714, 969?

Answer: LCM of 960, 979, 714, 969 is 2124978240.

2. How to calculate the LCM of 960, 979, 714, 969?

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 960, 979, 714, 969.

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}.