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LCM of 495, 616, 374, 687, 867

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


Find the LCM of 495, 616, 374, 687, 867 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 495, 616, 374, 687, 867. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 495,616,374,687,867

Given numbers are 495,616,374,687,867

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

The LCM of 495,616,374,687,867 is 1834537320.

Find LCM of 495,616,374,687,867 with Prime Factorization


2 495, 616, 374, 687, 867
3 495, 308, 187, 687, 867
11 165, 308, 187, 229, 289
17 15, 28, 17, 229, 289
15, 28, 1, 229, 17

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

2 x 3 x 11 x 17 x 15 x 28 x 1 x 229 x 17 = 1834537320

Therefore, the lowest common multiple of 495,616,374,687,867 is 1834537320.

LCM Formula to Find Lowest Common Multiple of 495,616,374,687,867

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.

495 x 616 x 374 x 687 x 867 = 67925578810320

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.

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

374 : 1, 2, 11, 17, 22, 34, 187, 374

687 : 1, 3, 229, 687

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,616,374,687,867, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

616:2x 2x 2x 7x 11

374:2x 11x 17

687:3x 229

867:3x 17x 17

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 11x 11x 17 = 37026

Therefore, the value for common factors is 37026.

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 = 67925578810320/(1x37026)

LCM = 67925578810320/37026

LCM = 1834537320

Thus, we can understand that the LCM of 495,616,374,687,867 is 1834537320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 495, 616, 374, 687, 867

1. What is the LCM of 495, 616, 374, 687, 867?

Answer: LCM of 495, 616, 374, 687, 867 is 1834537320.

2. How to calculate the LCM of 495, 616, 374, 687, 867?

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 495, 616, 374, 687, 867.

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}.