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LCM of 902, 309, 111

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


Find the LCM of 902, 309, 111 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 902, 309, 111. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,309,111

Given numbers are 902,309,111

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

The LCM of 902,309,111 is 10312566.

Find LCM of 902,309,111 with Prime Factorization


3 902, 309, 111
902, 103, 37

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

3 x 902 x 103 x 37 = 10312566

Therefore, the lowest common multiple of 902,309,111 is 10312566.

LCM Formula to Find Lowest Common Multiple of 902,309,111

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.

902 x 309 x 111 = 30937698

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.

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

309 : 1, 3, 103, 309

111 : 1, 3, 37, 111

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,309,111, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

309:3x 103

111:3x 37

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

3 = 3

Therefore, the value for common factors is 3.

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 = 30937698/(1x3)

LCM = 30937698/3

LCM = 10312566

Thus, we can understand that the LCM of 902,309,111 is 10312566.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 902, 309, 111

1. What is the LCM of 902, 309, 111?

Answer: LCM of 902, 309, 111 is 10312566.

2. How to calculate the LCM of 902, 309, 111?

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 902, 309, 111.

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}.