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LCM of 550, 537, 798, 856, 374

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


Find the LCM of 550, 537, 798, 856, 374 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 550, 537, 798, 856, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 550,537,798,856,374

Given numbers are 550,537,798,856,374

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

The LCM of 550,537,798,856,374 is 285812557800.

Find LCM of 550,537,798,856,374 with Prime Factorization


2 550, 537, 798, 856, 374
3 275, 537, 399, 428, 187
11 275, 179, 133, 428, 187
25, 179, 133, 428, 17

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

2 x 3 x 11 x 25 x 179 x 133 x 428 x 17 = 285812557800

Therefore, the lowest common multiple of 550,537,798,856,374 is 285812557800.

LCM Formula to Find Lowest Common Multiple of 550,537,798,856,374

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.

550 x 537 x 798 x 856 x 374 = 75454515259200

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.

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

537 : 1, 3, 179, 537

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

856 : 1, 2, 4, 8, 107, 214, 428, 856

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 550,537,798,856,374, is 1.

Now, the common factors can be found like this.

550:2x 5x 5x 11

537:3x 179

798:2x 3x 7x 19

856:2x 2x 2x 107

374:2x 11x 17

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 2x 3x 11 = 264

Therefore, the value for common factors is 264.

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 = 75454515259200/(1x264)

LCM = 75454515259200/264

LCM = 285812557800

Thus, we can understand that the LCM of 550,537,798,856,374 is 285812557800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 550, 537, 798, 856, 374

1. What is the LCM of 550, 537, 798, 856, 374?

Answer: LCM of 550, 537, 798, 856, 374 is 285812557800.

2. How to calculate the LCM of 550, 537, 798, 856, 374?

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 550, 537, 798, 856, 374.

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}.