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LCM of 638, 763, 654, 566

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


Find the LCM of 638, 763, 654, 566 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 638, 763, 654, 566. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 638,763,654,566

Given numbers are 638,763,654,566

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

The LCM of 638,763,654,566 is 413288106.

Find LCM of 638,763,654,566 with Prime Factorization


2 638, 763, 654, 566
109 319, 763, 327, 283
319, 7, 3, 283

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

2 x 109 x 319 x 7 x 3 x 283 = 413288106

Therefore, the lowest common multiple of 638,763,654,566 is 413288106.

LCM Formula to Find Lowest Common Multiple of 638,763,654,566

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.

638 x 763 x 654 x 566 = 180193614216

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.

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

763 : 1, 7, 109, 763

654 : 1, 2, 3, 6, 109, 218, 327, 654

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,763,654,566, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

763:7x 109

654:2x 3x 109

566:2x 283

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 109 = 436

Therefore, the value for common factors is 436.

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 = 180193614216/(1x436)

LCM = 180193614216/436

LCM = 413288106

Thus, we can understand that the LCM of 638,763,654,566 is 413288106.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 638, 763, 654, 566

1. What is the LCM of 638, 763, 654, 566?

Answer: LCM of 638, 763, 654, 566 is 413288106.

2. How to calculate the LCM of 638, 763, 654, 566?

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 638, 763, 654, 566.

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}.