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LCM of 256, 676, 975, 693, 830

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


Find the LCM of 256, 676, 975, 693, 830 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 256, 676, 975, 693, 830. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 256,676,975,693,830

Given numbers are 256,676,975,693,830

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

The LCM of 256,676,975,693,830 is 62212550400.

Find LCM of 256,676,975,693,830 with Prime Factorization


2 256, 676, 975, 693, 830
2 128, 338, 975, 693, 415
3 64, 169, 975, 693, 415
5 64, 169, 325, 231, 415
13 64, 169, 65, 231, 83
64, 13, 5, 231, 83

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

2 x 2 x 3 x 5 x 13 x 64 x 13 x 5 x 231 x 83 = 62212550400

Therefore, the lowest common multiple of 256,676,975,693,830 is 62212550400.

LCM Formula to Find Lowest Common Multiple of 256,676,975,693,830

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.

256 x 676 x 975 x 693 x 830 = 97051578624000

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.

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

830 : 1, 2, 5, 10, 83, 166, 415, 830

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,676,975,693,830, is 1.

Now, the common factors can be found like this.

256:2x 2x 2x 2x 2x 2x 2x 2

676:2x 2x 13x 13

975:3x 5x 5x 13

693:3x 3x 7x 11

830:2x 5x 83

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 3x 5x 13 = 1560

Therefore, the value for common factors is 1560.

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 = 97051578624000/(1x1560)

LCM = 97051578624000/1560

LCM = 62212550400

Thus, we can understand that the LCM of 256,676,975,693,830 is 62212550400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 256, 676, 975, 693, 830

1. What is the LCM of 256, 676, 975, 693, 830?

Answer: LCM of 256, 676, 975, 693, 830 is 62212550400.

2. How to calculate the LCM of 256, 676, 975, 693, 830?

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 256, 676, 975, 693, 830.

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}.