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LCM of 161, 420, 922, 776, 968

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


Find the LCM of 161, 420, 922, 776, 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 161, 420, 922, 776, 968. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 161,420,922,776,968

Given numbers are 161,420,922,776,968

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

The LCM of 161,420,922,776,968 is 104535825240.

Find LCM of 161,420,922,776,968 with Prime Factorization


2 161, 420, 922, 776, 968
2 161, 210, 461, 388, 484
2 161, 105, 461, 194, 242
7 161, 105, 461, 97, 121
23, 15, 461, 97, 121

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

2 x 2 x 2 x 7 x 23 x 15 x 461 x 97 x 121 = 104535825240

Therefore, the lowest common multiple of 161,420,922,776,968 is 104535825240.

LCM Formula to Find Lowest Common Multiple of 161,420,922,776,968

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.

161 x 420 x 922 x 776 x 968 = 46832049707520

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.

161 : 1, 7, 23, 161

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

922 : 1, 2, 461, 922

776 : 1, 2, 4, 8, 97, 194, 388, 776

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 161,420,922,776,968, is 1.

Now, the common factors can be found like this.

161:7x 23

420:2x 2x 3x 5x 7

922:2x 461

776:2x 2x 2x 97

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 2x 2x 2x 2x 2x 7 = 448

Therefore, the value for common factors is 448.

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 = 46832049707520/(1x448)

LCM = 46832049707520/448

LCM = 104535825240

Thus, we can understand that the LCM of 161,420,922,776,968 is 104535825240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 161, 420, 922, 776, 968

1. What is the LCM of 161, 420, 922, 776, 968?

Answer: LCM of 161, 420, 922, 776, 968 is 104535825240.

2. How to calculate the LCM of 161, 420, 922, 776, 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 161, 420, 922, 776, 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}.