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LCM of 416, 325, 637, 991

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


Find the LCM of 416, 325, 637, 991 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 416, 325, 637, 991. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 416,325,637,991

Given numbers are 416,325,637,991

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

The LCM of 416,325,637,991 is 505013600.

Find LCM of 416,325,637,991 with Prime Factorization


13 416, 325, 637, 991
32, 25, 49, 991

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

13 x 32 x 25 x 49 x 991 = 505013600

Therefore, the lowest common multiple of 416,325,637,991 is 505013600.

LCM Formula to Find Lowest Common Multiple of 416,325,637,991

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.

416 x 325 x 637 x 991 = 85347298400

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

325 : 1, 5, 13, 25, 65, 325

637 : 1, 7, 13, 49, 91, 637

991 : 1, 991

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,325,637,991, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

325:5x 5x 13

637:7x 7x 13

991:991

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 85347298400/(1x169)

LCM = 85347298400/169

LCM = 505013600

Thus, we can understand that the LCM of 416,325,637,991 is 505013600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 416, 325, 637, 991

1. What is the LCM of 416, 325, 637, 991?

Answer: LCM of 416, 325, 637, 991 is 505013600.

2. How to calculate the LCM of 416, 325, 637, 991?

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 416, 325, 637, 991.

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}.