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LCM of 968, 121, 117, 133, 515

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


Find the LCM of 968, 121, 117, 133, 515 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 968, 121, 117, 133, 515. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 968,121,117,133,515

Given numbers are 968,121,117,133,515

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

The LCM of 968,121,117,133,515 is 7757469720.

Find LCM of 968,121,117,133,515 with Prime Factorization


11 968, 121, 117, 133, 515
11 88, 11, 117, 133, 515
8, 1, 117, 133, 515

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

11 x 11 x 8 x 1 x 117 x 133 x 515 = 7757469720

Therefore, the lowest common multiple of 968,121,117,133,515 is 7757469720.

LCM Formula to Find Lowest Common Multiple of 968,121,117,133,515

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.

968 x 121 x 117 x 133 x 515 = 938653836120

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.

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

121 : 1, 11, 121

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

133 : 1, 7, 19, 133

515 : 1, 5, 103, 515

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,121,117,133,515, is 1.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

121:11x 11

117:3x 3x 13

133:7x 19

515:5x 103

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 938653836120/(1x121)

LCM = 938653836120/121

LCM = 7757469720

Thus, we can understand that the LCM of 968,121,117,133,515 is 7757469720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 968, 121, 117, 133, 515

1. What is the LCM of 968, 121, 117, 133, 515?

Answer: LCM of 968, 121, 117, 133, 515 is 7757469720.

2. How to calculate the LCM of 968, 121, 117, 133, 515?

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 968, 121, 117, 133, 515.

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}.