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LCM of 165, 687, 678, 968

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


Find the LCM of 165, 687, 678, 968 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 165, 687, 678, 968. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 165,687,678,968

Given numbers are 165,687,678,968

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

The LCM of 165,687,678,968 is 375734040.

Find LCM of 165,687,678,968 with Prime Factorization


2 165, 687, 678, 968
3 165, 687, 339, 484
11 55, 229, 113, 484
5, 229, 113, 44

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

2 x 3 x 11 x 5 x 229 x 113 x 44 = 375734040

Therefore, the lowest common multiple of 165,687,678,968 is 375734040.

LCM Formula to Find Lowest Common Multiple of 165,687,678,968

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.

165 x 687 x 678 x 968 = 74395339920

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.

165 : 1, 3, 5, 11, 15, 33, 55, 165

687 : 1, 3, 229, 687

678 : 1, 2, 3, 6, 113, 226, 339, 678

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,687,678,968, is 1.

Now, the common factors can be found like this.

165:3x 5x 11

687:3x 229

678:2x 3x 113

968:2x 2x 2x 11x 11

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 11 = 198

Therefore, the value for common factors is 198.

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 = 74395339920/(1x198)

LCM = 74395339920/198

LCM = 375734040

Thus, we can understand that the LCM of 165,687,678,968 is 375734040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 165, 687, 678, 968

1. What is the LCM of 165, 687, 678, 968?

Answer: LCM of 165, 687, 678, 968 is 375734040.

2. How to calculate the LCM of 165, 687, 678, 968?

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 165, 687, 678, 968.

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}.