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LCM of 960, 958, 545, 122

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


Find the LCM of 960, 958, 545, 122 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 960, 958, 545, 122. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 960,958,545,122

Given numbers are 960,958,545,122

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

The LCM of 960,958,545,122 is 3057476160.

Find LCM of 960,958,545,122 with Prime Factorization


2 960, 958, 545, 122
5 480, 479, 545, 61
96, 479, 109, 61

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

2 x 5 x 96 x 479 x 109 x 61 = 3057476160

Therefore, the lowest common multiple of 960,958,545,122 is 3057476160.

LCM Formula to Find Lowest Common Multiple of 960,958,545,122

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.

960 x 958 x 545 x 122 = 61149523200

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

958 : 1, 2, 479, 958

545 : 1, 5, 109, 545

122 : 1, 2, 61, 122

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,958,545,122, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

958:2x 479

545:5x 109

122:2x 61

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 5 = 20

Therefore, the value for common factors is 20.

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 = 61149523200/(1x20)

LCM = 61149523200/20

LCM = 3057476160

Thus, we can understand that the LCM of 960,958,545,122 is 3057476160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 960, 958, 545, 122

1. What is the LCM of 960, 958, 545, 122?

Answer: LCM of 960, 958, 545, 122 is 3057476160.

2. How to calculate the LCM of 960, 958, 545, 122?

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 960, 958, 545, 122.

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}.