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LCM of 507, 919, 871

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


Find the LCM of 507, 919, 871 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 507, 919, 871. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 507,919,871

Given numbers are 507,919,871

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

The LCM of 507,919,871 is 31217511.

Find LCM of 507,919,871 with Prime Factorization


13 507, 919, 871
39, 919, 67

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

13 x 39 x 919 x 67 = 31217511

Therefore, the lowest common multiple of 507,919,871 is 31217511.

LCM Formula to Find Lowest Common Multiple of 507,919,871

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.

507 x 919 x 871 = 405827643

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.

507 : 1, 3, 13, 39, 169, 507

919 : 1, 919

871 : 1, 13, 67, 871

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,919,871, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

919:919

871:13x 67

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

13 = 13

Therefore, the value for common factors is 13.

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 = 405827643/(1x13)

LCM = 405827643/13

LCM = 31217511

Thus, we can understand that the LCM of 507,919,871 is 31217511.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 507, 919, 871

1. What is the LCM of 507, 919, 871?

Answer: LCM of 507, 919, 871 is 31217511.

2. How to calculate the LCM of 507, 919, 871?

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 507, 919, 871.

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}.