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LCM of 796, 959, 781, 426

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


Find the LCM of 796, 959, 781, 426 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, 959, 781, 426. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 796,959,781,426

Given numbers are 796,959,781,426

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

The LCM of 796,959,781,426 is 1788561852.

Find LCM of 796,959,781,426 with Prime Factorization


2 796, 959, 781, 426
71 398, 959, 781, 213
398, 959, 11, 3

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

2 x 71 x 398 x 959 x 11 x 3 = 1788561852

Therefore, the lowest common multiple of 796,959,781,426 is 1788561852.

LCM Formula to Find Lowest Common Multiple of 796,959,781,426

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 959 x 781 x 426 = 253975782984

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

959 : 1, 7, 137, 959

781 : 1, 11, 71, 781

426 : 1, 2, 3, 6, 71, 142, 213, 426

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,959,781,426, is 1.

Now, the common factors can be found like this.

796:2x 2x 199

959:7x 137

781:11x 71

426:2x 3x 71

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 253975782984/(1x142)

LCM = 253975782984/142

LCM = 1788561852

Thus, we can understand that the LCM of 796,959,781,426 is 1788561852.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 796, 959, 781, 426

1. What is the LCM of 796, 959, 781, 426?

Answer: LCM of 796, 959, 781, 426 is 1788561852.

2. How to calculate the LCM of 796, 959, 781, 426?

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, 959, 781, 426.

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}.