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LCM of 638, 611, 377, 872

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


Find the LCM of 638, 611, 377, 872 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, 611, 377, 872. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 638,611,377,872

Given numbers are 638,611,377,872

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

The LCM of 638,611,377,872 is 169960648.

Find LCM of 638,611,377,872 with Prime Factorization


2 638, 611, 377, 872
13 319, 611, 377, 436
29 319, 47, 29, 436
11, 47, 1, 436

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

2 x 13 x 29 x 11 x 47 x 1 x 436 = 169960648

Therefore, the lowest common multiple of 638,611,377,872 is 169960648.

LCM Formula to Find Lowest Common Multiple of 638,611,377,872

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 611 x 377 x 872 = 128150328592

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

611 : 1, 13, 47, 611

377 : 1, 13, 29, 377

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,611,377,872, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

611:13x 47

377:13x 29

872:2x 2x 2x 109

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

2x 13x 29 = 754

Therefore, the value for common factors is 754.

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 = 128150328592/(1x754)

LCM = 128150328592/754

LCM = 169960648

Thus, we can understand that the LCM of 638,611,377,872 is 169960648.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 638, 611, 377, 872

1. What is the LCM of 638, 611, 377, 872?

Answer: LCM of 638, 611, 377, 872 is 169960648.

2. How to calculate the LCM of 638, 611, 377, 872?

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, 611, 377, 872.

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}.