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LCM of 516, 908, 838, 989

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


Find the LCM of 516, 908, 838, 989 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, 908, 838, 989. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 516,908,838,989

Given numbers are 516,908,838,989

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

The LCM of 516,908,838,989 is 1128801084.

Find LCM of 516,908,838,989 with Prime Factorization


2 516, 908, 838, 989
2 258, 454, 419, 989
43 129, 227, 419, 989
3, 227, 419, 23

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

2 x 2 x 43 x 3 x 227 x 419 x 23 = 1128801084

Therefore, the lowest common multiple of 516,908,838,989 is 1128801084.

LCM Formula to Find Lowest Common Multiple of 516,908,838,989

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 908 x 838 x 989 = 388307572896

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

908 : 1, 2, 4, 227, 454, 908

838 : 1, 2, 419, 838

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,908,838,989, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

908:2x 2x 227

838:2x 419

989:23x 43

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 2x 43 = 344

Therefore, the value for common factors is 344.

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 = 388307572896/(1x344)

LCM = 388307572896/344

LCM = 1128801084

Thus, we can understand that the LCM of 516,908,838,989 is 1128801084.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 516, 908, 838, 989

1. What is the LCM of 516, 908, 838, 989?

Answer: LCM of 516, 908, 838, 989 is 1128801084.

2. How to calculate the LCM of 516, 908, 838, 989?

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, 908, 838, 989.

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}.