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LCM of 412, 79, 724

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


Find the LCM of 412, 79, 724 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 412, 79, 724. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 412,79,724

Given numbers are 412,79,724

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

The LCM of 412,79,724 is 5891188.

Find LCM of 412,79,724 with Prime Factorization


2 412, 79, 724
2 206, 79, 362
103, 79, 181

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

2 x 2 x 103 x 79 x 181 = 5891188

Therefore, the lowest common multiple of 412,79,724 is 5891188.

LCM Formula to Find Lowest Common Multiple of 412,79,724

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.

412 x 79 x 724 = 23564752

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.

412 : 1, 2, 4, 103, 206, 412

79 : 1, 79

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,79,724, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

79:79

724:2x 2x 181

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 = 23564752/(1x4)

LCM = 23564752/4

LCM = 5891188

Thus, we can understand that the LCM of 412,79,724 is 5891188.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 412, 79, 724

1. What is the LCM of 412, 79, 724?

Answer: LCM of 412, 79, 724 is 5891188.

2. How to calculate the LCM of 412, 79, 724?

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 412, 79, 724.

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}.