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LCM of 796, 454, 625, 759, 414

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


Find the LCM of 796, 454, 625, 759, 414 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 796, 454, 625, 759, 414. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 796,454,625,759,414

Given numbers are 796,454,625,759,414

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

The LCM of 796,454,625,759,414 is 257147302500.

Find LCM of 796,454,625,759,414 with Prime Factorization


2 796, 454, 625, 759, 414
3 398, 227, 625, 759, 207
23 398, 227, 625, 253, 69
398, 227, 625, 11, 3

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

2 x 3 x 23 x 398 x 227 x 625 x 11 x 3 = 257147302500

Therefore, the lowest common multiple of 796,454,625,759,414 is 257147302500.

LCM Formula to Find Lowest Common Multiple of 796,454,625,759,414

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.

796 x 454 x 625 x 759 x 414 = 70972655490000

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.

796 : 1, 2, 4, 199, 398, 796

454 : 1, 2, 227, 454

625 : 1, 5, 25, 125, 625

759 : 1, 3, 11, 23, 33, 69, 253, 759

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,454,625,759,414, is 1.

Now, the common factors can be found like this.

796:2x 2x 199

454:2x 227

625:5x 5x 5x 5

759:3x 11x 23

414:2x 3x 3x 23

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 3x 23 = 276

Therefore, the value for common factors is 276.

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 = 70972655490000/(1x276)

LCM = 70972655490000/276

LCM = 257147302500

Thus, we can understand that the LCM of 796,454,625,759,414 is 257147302500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 796, 454, 625, 759, 414

1. What is the LCM of 796, 454, 625, 759, 414?

Answer: LCM of 796, 454, 625, 759, 414 is 257147302500.

2. How to calculate the LCM of 796, 454, 625, 759, 414?

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 796, 454, 625, 759, 414.

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}.