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LCM of 510, 746, 872, 652, 547

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


Find the LCM of 510, 746, 872, 652, 547 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 510, 746, 872, 652, 547. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 510,746,872,652,547

Given numbers are 510,746,872,652,547

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

The LCM of 510,746,872,652,547 is 7395038305080.

Find LCM of 510,746,872,652,547 with Prime Factorization


2 510, 746, 872, 652, 547
2 255, 373, 436, 326, 547
255, 373, 218, 163, 547

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

2 x 2 x 255 x 373 x 218 x 163 x 547 = 7395038305080

Therefore, the lowest common multiple of 510,746,872,652,547 is 7395038305080.

LCM Formula to Find Lowest Common Multiple of 510,746,872,652,547

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.

510 x 746 x 872 x 652 x 547 = 118320612881280

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.

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

746 : 1, 2, 373, 746

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

652 : 1, 2, 4, 163, 326, 652

547 : 1, 547

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,746,872,652,547, is 1.

Now, the common factors can be found like this.

510:2x 3x 5x 17

746:2x 373

872:2x 2x 2x 109

652:2x 2x 163

547:547

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 2 = 16

Therefore, the value for common factors is 16.

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 = 118320612881280/(1x16)

LCM = 118320612881280/16

LCM = 7395038305080

Thus, we can understand that the LCM of 510,746,872,652,547 is 7395038305080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 510, 746, 872, 652, 547

1. What is the LCM of 510, 746, 872, 652, 547?

Answer: LCM of 510, 746, 872, 652, 547 is 7395038305080.

2. How to calculate the LCM of 510, 746, 872, 652, 547?

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 510, 746, 872, 652, 547.

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}.