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LCM of 754, 726, 415, 110

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


Find the LCM of 754, 726, 415, 110 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 754, 726, 415, 110. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 754,726,415,110

Given numbers are 754,726,415,110

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

The LCM of 754,726,415,110 is 113586330.

Find LCM of 754,726,415,110 with Prime Factorization


2 754, 726, 415, 110
5 377, 363, 415, 55
11 377, 363, 83, 11
377, 33, 83, 1

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

2 x 5 x 11 x 377 x 33 x 83 x 1 = 113586330

Therefore, the lowest common multiple of 754,726,415,110 is 113586330.

LCM Formula to Find Lowest Common Multiple of 754,726,415,110

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.

754 x 726 x 415 x 110 = 24988992600

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

415 : 1, 5, 83, 415

110 : 1, 2, 5, 10, 11, 22, 55, 110

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,726,415,110, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

726:2x 3x 11x 11

415:5x 83

110:2x 5x 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 5x 11 = 220

Therefore, the value for common factors is 220.

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 = 24988992600/(1x220)

LCM = 24988992600/220

LCM = 113586330

Thus, we can understand that the LCM of 754,726,415,110 is 113586330.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 754, 726, 415, 110

1. What is the LCM of 754, 726, 415, 110?

Answer: LCM of 754, 726, 415, 110 is 113586330.

2. How to calculate the LCM of 754, 726, 415, 110?

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 754, 726, 415, 110.

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}.