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LCM of 630, 690, 516, 359

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


Find the LCM of 630, 690, 516, 359 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, 690, 516, 359. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 630,690,516,359

Given numbers are 630,690,516,359

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

The LCM of 630,690,516,359 is 447364260.

Find LCM of 630,690,516,359 with Prime Factorization


2 630, 690, 516, 359
3 315, 345, 258, 359
5 105, 115, 86, 359
21, 23, 86, 359

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

2 x 3 x 5 x 21 x 23 x 86 x 359 = 447364260

Therefore, the lowest common multiple of 630,690,516,359 is 447364260.

LCM Formula to Find Lowest Common Multiple of 630,690,516,359

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 690 x 516 x 359 = 80525566800

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

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

359 : 1, 359

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,690,516,359, is 1.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

690:2x 3x 5x 23

516:2x 2x 3x 43

359:359

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 5 = 180

Therefore, the value for common factors is 180.

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 = 80525566800/(1x180)

LCM = 80525566800/180

LCM = 447364260

Thus, we can understand that the LCM of 630,690,516,359 is 447364260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 630, 690, 516, 359

1. What is the LCM of 630, 690, 516, 359?

Answer: LCM of 630, 690, 516, 359 is 447364260.

2. How to calculate the LCM of 630, 690, 516, 359?

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, 690, 516, 359.

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}.