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LCM of 630, 797, 798, 714

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


Find the LCM of 630, 797, 798, 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 630, 797, 798, 714. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 630,797,798,714

Given numbers are 630,797,798,714

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

The LCM of 630,797,798,714 is 162181530.

Find LCM of 630,797,798,714 with Prime Factorization


2 630, 797, 798, 714
3 315, 797, 399, 357
7 105, 797, 133, 119
15, 797, 19, 17

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

2 x 3 x 7 x 15 x 797 x 19 x 17 = 162181530

Therefore, the lowest common multiple of 630,797,798,714 is 162181530.

LCM Formula to Find Lowest Common Multiple of 630,797,798,714

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.

630 x 797 x 798 x 714 = 286088218920

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.

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

797 : 1, 797

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

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 630,797,798,714, is 1.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

797:797

798:2x 3x 7x 19

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 3x 7x 7 = 1764

Therefore, the value for common factors is 1764.

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 = 286088218920/(1x1764)

LCM = 286088218920/1764

LCM = 162181530

Thus, we can understand that the LCM of 630,797,798,714 is 162181530.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 630, 797, 798, 714

1. What is the LCM of 630, 797, 798, 714?

Answer: LCM of 630, 797, 798, 714 is 162181530.

2. How to calculate the LCM of 630, 797, 798, 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 630, 797, 798, 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}.