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LCM of 723, 981, 241, 508

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


Find the LCM of 723, 981, 241, 508 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 723, 981, 241, 508. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 723,981,241,508

Given numbers are 723,981,241,508

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

The LCM of 723,981,241,508 is 120101868.

Find LCM of 723,981,241,508 with Prime Factorization


3 723, 981, 241, 508
241 241, 327, 241, 508
1, 327, 1, 508

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

3 x 241 x 1 x 327 x 1 x 508 = 120101868

Therefore, the lowest common multiple of 723,981,241,508 is 120101868.

LCM Formula to Find Lowest Common Multiple of 723,981,241,508

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.

723 x 981 x 241 x 508 = 86833650564

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.

723 : 1, 3, 241, 723

981 : 1, 3, 9, 109, 327, 981

241 : 1, 241

508 : 1, 2, 4, 127, 254, 508

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,981,241,508, is 1.

Now, the common factors can be found like this.

723:3x 241

981:3x 3x 109

241:241

508:2x 2x 127

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

3x 241 = 723

Therefore, the value for common factors is 723.

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 = 86833650564/(1x723)

LCM = 86833650564/723

LCM = 120101868

Thus, we can understand that the LCM of 723,981,241,508 is 120101868.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 723, 981, 241, 508

1. What is the LCM of 723, 981, 241, 508?

Answer: LCM of 723, 981, 241, 508 is 120101868.

2. How to calculate the LCM of 723, 981, 241, 508?

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 723, 981, 241, 508.

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}.