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LCM of 914, 974, 748, 165, 280

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


Find the LCM of 914, 974, 748, 165, 280 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 914, 974, 748, 165, 280. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 914,974,748,165,280

Given numbers are 914,974,748,165,280

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

The LCM of 914,974,748,165,280 is 34959567720.

Find LCM of 914,974,748,165,280 with Prime Factorization


2 914, 974, 748, 165, 280
2 457, 487, 374, 165, 140
5 457, 487, 187, 165, 70
11 457, 487, 187, 33, 14
457, 487, 17, 3, 14

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

2 x 2 x 5 x 11 x 457 x 487 x 17 x 3 x 14 = 34959567720

Therefore, the lowest common multiple of 914,974,748,165,280 is 34959567720.

LCM Formula to Find Lowest Common Multiple of 914,974,748,165,280

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.

914 x 974 x 748 x 165 x 280 = 30764419593600

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.

914 : 1, 2, 457, 914

974 : 1, 2, 487, 974

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

165 : 1, 3, 5, 11, 15, 33, 55, 165

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,974,748,165,280, is 1.

Now, the common factors can be found like this.

914:2x 457

974:2x 487

748:2x 2x 11x 17

165:3x 5x 11

280:2x 2x 2x 5x 7

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 2x 5x 11 = 880

Therefore, the value for common factors is 880.

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 = 30764419593600/(1x880)

LCM = 30764419593600/880

LCM = 34959567720

Thus, we can understand that the LCM of 914,974,748,165,280 is 34959567720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 914, 974, 748, 165, 280

1. What is the LCM of 914, 974, 748, 165, 280?

Answer: LCM of 914, 974, 748, 165, 280 is 34959567720.

2. How to calculate the LCM of 914, 974, 748, 165, 280?

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 914, 974, 748, 165, 280.

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}.