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LCM of 374, 534, 979, 714

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


Find the LCM of 374, 534, 979, 714 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 374, 534, 979, 714. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 374,534,979,714

Given numbers are 374,534,979,714

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

The LCM of 374,534,979,714 is 699006.

Find LCM of 374,534,979,714 with Prime Factorization


2 374, 534, 979, 714
3 187, 267, 979, 357
11 187, 89, 979, 119
17 17, 89, 89, 119
89 1, 89, 89, 7
1, 1, 1, 7

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

2 x 3 x 11 x 17 x 89 x 1 x 1 x 1 x 7 = 699006

Therefore, the lowest common multiple of 374,534,979,714 is 699006.

LCM Formula to Find Lowest Common Multiple of 374,534,979,714

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.

374 x 534 x 979 x 714 = 139602682296

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.

374 : 1, 2, 11, 17, 22, 34, 187, 374

534 : 1, 2, 3, 6, 89, 178, 267, 534

979 : 1, 11, 89, 979

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,534,979,714, is 1.

Now, the common factors can be found like this.

374:2x 11x 17

534:2x 3x 89

979:11x 89

714:2x 3x 7x 17

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 11x 17x 89 = 199716

Therefore, the value for common factors is 199716.

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 = 139602682296/(1x199716)

LCM = 139602682296/199716

LCM = 699006

Thus, we can understand that the LCM of 374,534,979,714 is 699006.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 374, 534, 979, 714

1. What is the LCM of 374, 534, 979, 714?

Answer: LCM of 374, 534, 979, 714 is 699006.

2. How to calculate the LCM of 374, 534, 979, 714?

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 374, 534, 979, 714.

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}.