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LCM of 516, 963, 602, 231

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


Find the LCM of 516, 963, 602, 231 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 516, 963, 602, 231. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 516,963,602,231

Given numbers are 516,963,602,231

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

The LCM of 516,963,602,231 is 12753972.

Find LCM of 516,963,602,231 with Prime Factorization


2 516, 963, 602, 231
3 258, 963, 301, 231
7 86, 321, 301, 77
43 86, 321, 43, 11
2, 321, 1, 11

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

2 x 3 x 7 x 43 x 2 x 321 x 1 x 11 = 12753972

Therefore, the lowest common multiple of 516,963,602,231 is 12753972.

LCM Formula to Find Lowest Common Multiple of 516,963,602,231

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.

516 x 963 x 602 x 231 = 69101020296

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.

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

963 : 1, 3, 9, 107, 321, 963

602 : 1, 2, 7, 14, 43, 86, 301, 602

231 : 1, 3, 7, 11, 21, 33, 77, 231

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,963,602,231, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

963:3x 3x 107

602:2x 7x 43

231:3x 7x 11

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 7x 43 = 5418

Therefore, the value for common factors is 5418.

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 = 69101020296/(1x5418)

LCM = 69101020296/5418

LCM = 12753972

Thus, we can understand that the LCM of 516,963,602,231 is 12753972.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 516, 963, 602, 231

1. What is the LCM of 516, 963, 602, 231?

Answer: LCM of 516, 963, 602, 231 is 12753972.

2. How to calculate the LCM of 516, 963, 602, 231?

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 516, 963, 602, 231.

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}.