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LCM of 8972, 3164

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


Find the LCM of 8972, 3164 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 8972, 3164. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8972,3164

Given numbers are 8972,3164

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

The LCM of 8972,3164 is 7096852.

Find LCM of 8972,3164 with Prime Factorization


2 8972, 3164
2 4486, 1582
2243, 791

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

2 x 2 x 2243 x 791 = 7096852

Therefore, the lowest common multiple of 8972,3164 is 7096852.

LCM Formula to Find Lowest Common Multiple of 8972,3164

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.

8972 x 3164 = 28387408

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.

8972 : 1, 2, 4, 2243, 4486, 8972

3164 : 1, 2, 4, 7, 14, 28, 113, 226, 452, 791, 1582, 3164

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8972,3164, is 4.

Now, the common factors can be found like this.

8972:2x 2x 2243

3164:2x 2x 7x 113

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

= 1

Therefore, the value for common factors is 1.

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 = 28387408/(4x1)

LCM = 28387408/4

LCM = 7096852

Thus, we can understand that the LCM of 8972,3164 is 7096852.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8972, 3164

1. What is the LCM of 8972, 3164?

Answer: LCM of 8972, 3164 is 7096852.

2. How to calculate the LCM of 8972, 3164?

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 8972, 3164.

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}.