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LCM of 506, 625, 638, 348

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


Find the LCM of 506, 625, 638, 348 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 506, 625, 638, 348. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 506,625,638,348

Given numbers are 506,625,638,348

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

The LCM of 506,625,638,348 is 55027500.

Find LCM of 506,625,638,348 with Prime Factorization


2 506, 625, 638, 348
11 253, 625, 319, 174
29 23, 625, 29, 174
23, 625, 1, 6

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

2 x 11 x 29 x 23 x 625 x 1 x 6 = 55027500

Therefore, the lowest common multiple of 506,625,638,348 is 55027500.

LCM Formula to Find Lowest Common Multiple of 506,625,638,348

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.

506 x 625 x 638 x 348 = 70215090000

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

625 : 1, 5, 25, 125, 625

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,625,638,348, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

625:5x 5x 5x 5

638:2x 11x 29

348:2x 2x 3x 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 2x 11x 29 = 1276

Therefore, the value for common factors is 1276.

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 = 70215090000/(1x1276)

LCM = 70215090000/1276

LCM = 55027500

Thus, we can understand that the LCM of 506,625,638,348 is 55027500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 506, 625, 638, 348

1. What is the LCM of 506, 625, 638, 348?

Answer: LCM of 506, 625, 638, 348 is 55027500.

2. How to calculate the LCM of 506, 625, 638, 348?

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 506, 625, 638, 348.

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}.