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LCM of 216, 902, 677, 902

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


Find the LCM of 216, 902, 677, 902 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 216, 902, 677, 902. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 216,902,677,902

Given numbers are 216,902,677,902

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

The LCM of 216,902,677,902 is 65950632.

Find LCM of 216,902,677,902 with Prime Factorization


2 216, 902, 677, 902
11 108, 451, 677, 451
41 108, 41, 677, 41
108, 1, 677, 1

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

2 x 11 x 41 x 108 x 1 x 677 x 1 = 65950632

Therefore, the lowest common multiple of 216,902,677,902 is 65950632.

LCM Formula to Find Lowest Common Multiple of 216,902,677,902

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.

216 x 902 x 677 x 902 = 118974940128

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.

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

902 : 1, 2, 11, 22, 41, 82, 451, 902

677 : 1, 677

902 : 1, 2, 11, 22, 41, 82, 451, 902

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,902,677,902, is 1.

Now, the common factors can be found like this.

216:2x 2x 2x 3x 3x 3

902:2x 11x 41

677:677

902:2x 11x 41

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

2x 2x 11x 41 = 1804

Therefore, the value for common factors is 1804.

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 = 118974940128/(1x1804)

LCM = 118974940128/1804

LCM = 65950632

Thus, we can understand that the LCM of 216,902,677,902 is 65950632.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 216, 902, 677, 902

1. What is the LCM of 216, 902, 677, 902?

Answer: LCM of 216, 902, 677, 902 is 65950632.

2. How to calculate the LCM of 216, 902, 677, 902?

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 216, 902, 677, 902.

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}.