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LCM of 519, 789, 946

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


Find the LCM of 519, 789, 946 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 519, 789, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 519,789,946

Given numbers are 519,789,946

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

The LCM of 519,789,946 is 129126162.

Find LCM of 519,789,946 with Prime Factorization


3 519, 789, 946
173, 263, 946

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

3 x 173 x 263 x 946 = 129126162

Therefore, the lowest common multiple of 519,789,946 is 129126162.

LCM Formula to Find Lowest Common Multiple of 519,789,946

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.

519 x 789 x 946 = 387378486

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.

519 : 1, 3, 173, 519

789 : 1, 3, 263, 789

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,789,946, is 1.

Now, the common factors can be found like this.

519:3x 173

789:3x 263

946:2x 11x 43

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

3 = 3

Therefore, the value for common factors is 3.

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 = 387378486/(1x3)

LCM = 387378486/3

LCM = 129126162

Thus, we can understand that the LCM of 519,789,946 is 129126162.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 519, 789, 946

1. What is the LCM of 519, 789, 946?

Answer: LCM of 519, 789, 946 is 129126162.

2. How to calculate the LCM of 519, 789, 946?

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 519, 789, 946.

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}.