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LCM of 796, 962, 962, 878, 689

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


Find the LCM of 796, 962, 962, 878, 689 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, 962, 962, 878, 689. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 796,962,962,878,689

Given numbers are 796,962,962,878,689

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

The LCM of 796,962,962,878,689 is 8908375892.

Find LCM of 796,962,962,878,689 with Prime Factorization


2 796, 962, 962, 878, 689
13 398, 481, 481, 439, 689
37 398, 37, 37, 439, 53
398, 1, 1, 439, 53

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

2 x 13 x 37 x 398 x 1 x 1 x 439 x 53 = 8908375892

Therefore, the lowest common multiple of 796,962,962,878,689 is 8908375892.

LCM Formula to Find Lowest Common Multiple of 796,962,962,878,689

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 962 x 962 x 878 x 689 = 445632595621408

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

962 : 1, 2, 13, 26, 37, 74, 481, 962

962 : 1, 2, 13, 26, 37, 74, 481, 962

878 : 1, 2, 439, 878

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,962,962,878,689, is 1.

Now, the common factors can be found like this.

796:2x 2x 199

962:2x 13x 37

962:2x 13x 37

878:2x 439

689:13x 53

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 13x 13x 37 = 50024

Therefore, the value for common factors is 50024.

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 = 445632595621408/(1x50024)

LCM = 445632595621408/50024

LCM = 8908375892

Thus, we can understand that the LCM of 796,962,962,878,689 is 8908375892.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 796, 962, 962, 878, 689

1. What is the LCM of 796, 962, 962, 878, 689?

Answer: LCM of 796, 962, 962, 878, 689 is 8908375892.

2. How to calculate the LCM of 796, 962, 962, 878, 689?

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, 962, 962, 878, 689.

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}.