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LCM of 976, 167, 106, 386

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


Find the LCM of 976, 167, 106, 386 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 976, 167, 106, 386. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 976,167,106,386

Given numbers are 976,167,106,386

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

The LCM of 976,167,106,386 is 1667245168.

Find LCM of 976,167,106,386 with Prime Factorization


2 976, 167, 106, 386
488, 167, 53, 193

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

2 x 488 x 167 x 53 x 193 = 1667245168

Therefore, the lowest common multiple of 976,167,106,386 is 1667245168.

LCM Formula to Find Lowest Common Multiple of 976,167,106,386

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.

976 x 167 x 106 x 386 = 6668980672

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.

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

167 : 1, 167

106 : 1, 2, 53, 106

386 : 1, 2, 193, 386

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,167,106,386, is 1.

Now, the common factors can be found like this.

976:2x 2x 2x 2x 61

167:167

106:2x 53

386:2x 193

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 6668980672/(1x4)

LCM = 6668980672/4

LCM = 1667245168

Thus, we can understand that the LCM of 976,167,106,386 is 1667245168.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 976, 167, 106, 386

1. What is the LCM of 976, 167, 106, 386?

Answer: LCM of 976, 167, 106, 386 is 1667245168.

2. How to calculate the LCM of 976, 167, 106, 386?

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 976, 167, 106, 386.

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}.