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LCM of 368, 851, 851

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


Find the LCM of 368, 851, 851 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 368, 851, 851. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 368,851,851

Given numbers are 368,851,851

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

The LCM of 368,851,851 is 13616.

Find LCM of 368,851,851 with Prime Factorization


23 368, 851, 851
37 16, 37, 37
16, 1, 1

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

23 x 37 x 16 x 1 x 1 = 13616

Therefore, the lowest common multiple of 368,851,851 is 13616.

LCM Formula to Find Lowest Common Multiple of 368,851,851

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.

368 x 851 x 851 = 266505968

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

851 : 1, 23, 37, 851

851 : 1, 23, 37, 851

23 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,851,851, is 23.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

851:23x 37

851:23x 37

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

23x 37 = 851

Therefore, the value for common factors is 851.

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 = 266505968/(23x851)

LCM = 266505968/19573

LCM = 13616

Thus, we can understand that the LCM of 368,851,851 is 13616.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 368, 851, 851

1. What is the LCM of 368, 851, 851?

Answer: LCM of 368, 851, 851 is 13616.

2. How to calculate the LCM of 368, 851, 851?

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 368, 851, 851.

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}.