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LCM of 997, 517, 611, 130

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


Find the LCM of 997, 517, 611, 130 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 997, 517, 611, 130. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 997,517,611,130

Given numbers are 997,517,611,130

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

The LCM of 997,517,611,130 is 67008370.

Find LCM of 997,517,611,130 with Prime Factorization


13 997, 517, 611, 130
47 997, 517, 47, 10
997, 11, 1, 10

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

13 x 47 x 997 x 11 x 1 x 10 = 67008370

Therefore, the lowest common multiple of 997,517,611,130 is 67008370.

LCM Formula to Find Lowest Common Multiple of 997,517,611,130

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.

997 x 517 x 611 x 130 = 40942114070

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.

997 : 1, 997

517 : 1, 11, 47, 517

611 : 1, 13, 47, 611

130 : 1, 2, 5, 10, 13, 26, 65, 130

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,517,611,130, is 1.

Now, the common factors can be found like this.

997:997

517:11x 47

611:13x 47

130:2x 5x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13x 47 = 611

Therefore, the value for common factors is 611.

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 = 40942114070/(1x611)

LCM = 40942114070/611

LCM = 67008370

Thus, we can understand that the LCM of 997,517,611,130 is 67008370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 997, 517, 611, 130

1. What is the LCM of 997, 517, 611, 130?

Answer: LCM of 997, 517, 611, 130 is 67008370.

2. How to calculate the LCM of 997, 517, 611, 130?

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 997, 517, 611, 130.

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}.