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LCM of 310, 507, 410, 746, 520

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


Find the LCM of 310, 507, 410, 746, 520 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 310, 507, 410, 746, 520. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 310,507,410,746,520

Given numbers are 310,507,410,746,520

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

The LCM of 310,507,410,746,520 is 9614403240.

Find LCM of 310,507,410,746,520 with Prime Factorization


2 310, 507, 410, 746, 520
5 155, 507, 205, 373, 260
13 31, 507, 41, 373, 52
31, 39, 41, 373, 4

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

2 x 5 x 13 x 31 x 39 x 41 x 373 x 4 = 9614403240

Therefore, the lowest common multiple of 310,507,410,746,520 is 9614403240.

LCM Formula to Find Lowest Common Multiple of 310,507,410,746,520

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.

310 x 507 x 410 x 746 x 520 = 24997448424000

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

507 : 1, 3, 13, 39, 169, 507

410 : 1, 2, 5, 10, 41, 82, 205, 410

746 : 1, 2, 373, 746

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,507,410,746,520, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

507:3x 13x 13

410:2x 5x 41

746:2x 373

520:2x 2x 2x 5x 13

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 5x 5x 13 = 2600

Therefore, the value for common factors is 2600.

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 = 24997448424000/(1x2600)

LCM = 24997448424000/2600

LCM = 9614403240

Thus, we can understand that the LCM of 310,507,410,746,520 is 9614403240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 310, 507, 410, 746, 520

1. What is the LCM of 310, 507, 410, 746, 520?

Answer: LCM of 310, 507, 410, 746, 520 is 9614403240.

2. How to calculate the LCM of 310, 507, 410, 746, 520?

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 310, 507, 410, 746, 520.

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}.