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LCM of 748, 847, 425, 317

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


Find the LCM of 748, 847, 425, 317 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 748, 847, 425, 317. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 748,847,425,317

Given numbers are 748,847,425,317

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

The LCM of 748,847,425,317 is 456448300.

Find LCM of 748,847,425,317 with Prime Factorization


11 748, 847, 425, 317
17 68, 77, 425, 317
4, 77, 25, 317

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

11 x 17 x 4 x 77 x 25 x 317 = 456448300

Therefore, the lowest common multiple of 748,847,425,317 is 456448300.

LCM Formula to Find Lowest Common Multiple of 748,847,425,317

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.

748 x 847 x 425 x 317 = 85355832100

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

847 : 1, 7, 11, 77, 121, 847

425 : 1, 5, 17, 25, 85, 425

317 : 1, 317

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,847,425,317, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

847:7x 11x 11

425:5x 5x 17

317:317

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

11x 17 = 187

Therefore, the value for common factors is 187.

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 = 85355832100/(1x187)

LCM = 85355832100/187

LCM = 456448300

Thus, we can understand that the LCM of 748,847,425,317 is 456448300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 748, 847, 425, 317

1. What is the LCM of 748, 847, 425, 317?

Answer: LCM of 748, 847, 425, 317 is 456448300.

2. How to calculate the LCM of 748, 847, 425, 317?

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 748, 847, 425, 317.

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}.