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LCM of 584, 657, 638

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


Find the LCM of 584, 657, 638 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, 657, 638. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 584,657,638

Given numbers are 584,657,638

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

The LCM of 584,657,638 is 1676664.

Find LCM of 584,657,638 with Prime Factorization


2 584, 657, 638
73 292, 657, 319
4, 9, 319

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

2 x 73 x 4 x 9 x 319 = 1676664

Therefore, the lowest common multiple of 584,657,638 is 1676664.

LCM Formula to Find Lowest Common Multiple of 584,657,638

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 657 x 638 = 244792944

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

657 : 1, 3, 9, 73, 219, 657

638 : 1, 2, 11, 22, 29, 58, 319, 638

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,657,638, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

657:3x 3x 73

638:2x 11x 29

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

2x 73 = 146

Therefore, the value for common factors is 146.

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 = 244792944/(1x146)

LCM = 244792944/146

LCM = 1676664

Thus, we can understand that the LCM of 584,657,638 is 1676664.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 584, 657, 638

1. What is the LCM of 584, 657, 638?

Answer: LCM of 584, 657, 638 is 1676664.

2. How to calculate the LCM of 584, 657, 638?

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, 657, 638.

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}.