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LCM of 584, 572, 299

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


Find the LCM of 584, 572, 299 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 584, 572, 299. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 584,572,299

Given numbers are 584,572,299

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

The LCM of 584,572,299 is 1920776.

Find LCM of 584,572,299 with Prime Factorization


2 584, 572, 299
2 292, 286, 299
13 146, 143, 299
146, 11, 23

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

2 x 2 x 13 x 146 x 11 x 23 = 1920776

Therefore, the lowest common multiple of 584,572,299 is 1920776.

LCM Formula to Find Lowest Common Multiple of 584,572,299

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.

584 x 572 x 299 = 99880352

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.

584 : 1, 2, 4, 8, 73, 146, 292, 584

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,572,299, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

572:2x 2x 11x 13

299:13x 23

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 13 = 52

Therefore, the value for common factors is 52.

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 = 99880352/(1x52)

LCM = 99880352/52

LCM = 1920776

Thus, we can understand that the LCM of 584,572,299 is 1920776.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 584, 572, 299

1. What is the LCM of 584, 572, 299?

Answer: LCM of 584, 572, 299 is 1920776.

2. How to calculate the LCM of 584, 572, 299?

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 584, 572, 299.

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}.