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LCM of 667, 277, 851, 962

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


Find the LCM of 667, 277, 851, 962 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 667, 277, 851, 962. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,277,851,962

Given numbers are 667,277,851,962

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

The LCM of 667,277,851,962 is 177738158.

Find LCM of 667,277,851,962 with Prime Factorization


23 667, 277, 851, 962
37 29, 277, 37, 962
29, 277, 1, 26

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

23 x 37 x 29 x 277 x 1 x 26 = 177738158

Therefore, the lowest common multiple of 667,277,851,962 is 177738158.

LCM Formula to Find Lowest Common Multiple of 667,277,851,962

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.

667 x 277 x 851 x 962 = 151255172458

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.

667 : 1, 23, 29, 667

277 : 1, 277

851 : 1, 23, 37, 851

962 : 1, 2, 13, 26, 37, 74, 481, 962

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,277,851,962, is 1.

Now, the common factors can be found like this.

667:23x 29

277:277

851:23x 37

962:2x 13x 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 = 151255172458/(1x851)

LCM = 151255172458/851

LCM = 177738158

Thus, we can understand that the LCM of 667,277,851,962 is 177738158.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 277, 851, 962

1. What is the LCM of 667, 277, 851, 962?

Answer: LCM of 667, 277, 851, 962 is 177738158.

2. How to calculate the LCM of 667, 277, 851, 962?

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 667, 277, 851, 962.

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}.