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LCM of 751, 422, 164, 442, 755

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


Find the LCM of 751, 422, 164, 442, 755 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 751, 422, 164, 442, 755. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 751,422,164,442,755

Given numbers are 751,422,164,442,755

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

The LCM of 751,422,164,442,755 is 4336161665420.

Find LCM of 751,422,164,442,755 with Prime Factorization


2 751, 422, 164, 442, 755
751, 211, 82, 221, 755

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

2 x 751 x 211 x 82 x 221 x 755 = 4336161665420

Therefore, the lowest common multiple of 751,422,164,442,755 is 4336161665420.

LCM Formula to Find Lowest Common Multiple of 751,422,164,442,755

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.

751 x 422 x 164 x 442 x 755 = 17344646661680

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.

751 : 1, 751

422 : 1, 2, 211, 422

164 : 1, 2, 4, 41, 82, 164

442 : 1, 2, 13, 17, 26, 34, 221, 442

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,422,164,442,755, is 1.

Now, the common factors can be found like this.

751:751

422:2x 211

164:2x 2x 41

442:2x 13x 17

755:5x 151

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 17344646661680/(1x4)

LCM = 17344646661680/4

LCM = 4336161665420

Thus, we can understand that the LCM of 751,422,164,442,755 is 4336161665420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 751, 422, 164, 442, 755

1. What is the LCM of 751, 422, 164, 442, 755?

Answer: LCM of 751, 422, 164, 442, 755 is 4336161665420.

2. How to calculate the LCM of 751, 422, 164, 442, 755?

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 751, 422, 164, 442, 755.

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}.