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LCM of 909, 807, 117, 972

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


Find the LCM of 909, 807, 117, 972 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 909, 807, 117, 972. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 909,807,117,972

Given numbers are 909,807,117,972

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

The LCM of 909,807,117,972 is 343307484.

Find LCM of 909,807,117,972 with Prime Factorization


3 909, 807, 117, 972
3 303, 269, 39, 324
101, 269, 13, 108

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

3 x 3 x 101 x 269 x 13 x 108 = 343307484

Therefore, the lowest common multiple of 909,807,117,972 is 343307484.

LCM Formula to Find Lowest Common Multiple of 909,807,117,972

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.

909 x 807 x 117 x 972 = 83423718612

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.

909 : 1, 3, 9, 101, 303, 909

807 : 1, 3, 269, 807

117 : 1, 3, 9, 13, 39, 117

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,807,117,972, is 3.

Now, the common factors can be found like this.

909:3x 3x 101

807:3x 269

117:3x 3x 13

972:2x 2x 3x 3x 3x 3x 3

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

3x 3x 3x 3 = 81

Therefore, the value for common factors is 81.

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 = 83423718612/(3x81)

LCM = 83423718612/243

LCM = 343307484

Thus, we can understand that the LCM of 909,807,117,972 is 343307484.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 909, 807, 117, 972

1. What is the LCM of 909, 807, 117, 972?

Answer: LCM of 909, 807, 117, 972 is 343307484.

2. How to calculate the LCM of 909, 807, 117, 972?

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 909, 807, 117, 972.

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}.