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LCM of 902, 169, 217, 441, 968

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


Find the LCM of 902, 169, 217, 441, 968 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, 169, 217, 441, 968. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,169,217,441,968

Given numbers are 902,169,217,441,968

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

The LCM of 902,169,217,441,968 is 91695115512.

Find LCM of 902,169,217,441,968 with Prime Factorization


2 902, 169, 217, 441, 968
7 451, 169, 217, 441, 484
11 451, 169, 31, 63, 484
41, 169, 31, 63, 44

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

2 x 7 x 11 x 41 x 169 x 31 x 63 x 44 = 91695115512

Therefore, the lowest common multiple of 902,169,217,441,968 is 91695115512.

LCM Formula to Find Lowest Common Multiple of 902,169,217,441,968

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 169 x 217 x 441 x 968 = 14121047788848

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

169 : 1, 13, 169

217 : 1, 7, 31, 217

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,169,217,441,968, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

169:13x 13

217:7x 31

441:3x 3x 7x 7

968:2x 2x 2x 11x 11

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

2x 7x 11 = 154

Therefore, the value for common factors is 154.

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 = 14121047788848/(1x154)

LCM = 14121047788848/154

LCM = 91695115512

Thus, we can understand that the LCM of 902,169,217,441,968 is 91695115512.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 169, 217, 441, 968

1. What is the LCM of 902, 169, 217, 441, 968?

Answer: LCM of 902, 169, 217, 441, 968 is 91695115512.

2. How to calculate the LCM of 902, 169, 217, 441, 968?

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, 169, 217, 441, 968.

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}.