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LCM of 961, 372, 710, 271, 122

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


Find the LCM of 961, 372, 710, 271, 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 961, 372, 710, 271, 122. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 961,372,710,271,122

Given numbers are 961,372,710,271,122

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

The LCM of 961,372,710,271,122 is 67675599660.

Find LCM of 961,372,710,271,122 with Prime Factorization


2 961, 372, 710, 271, 122
31 961, 186, 355, 271, 61
31, 6, 355, 271, 61

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

2 x 31 x 31 x 6 x 355 x 271 x 61 = 67675599660

Therefore, the lowest common multiple of 961,372,710,271,122 is 67675599660.

LCM Formula to Find Lowest Common Multiple of 961,372,710,271,122

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.

961 x 372 x 710 x 271 x 122 = 8391774357840

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.

961 : 1, 31, 961

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

710 : 1, 2, 5, 10, 71, 142, 355, 710

271 : 1, 271

122 : 1, 2, 61, 122

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,372,710,271,122, is 1.

Now, the common factors can be found like this.

961:31x 31

372:2x 2x 3x 31

710:2x 5x 71

271:271

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 31 = 124

Therefore, the value for common factors is 124.

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 = 8391774357840/(1x124)

LCM = 8391774357840/124

LCM = 67675599660

Thus, we can understand that the LCM of 961,372,710,271,122 is 67675599660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 961, 372, 710, 271, 122

1. What is the LCM of 961, 372, 710, 271, 122?

Answer: LCM of 961, 372, 710, 271, 122 is 67675599660.

2. How to calculate the LCM of 961, 372, 710, 271, 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 961, 372, 710, 271, 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}.