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LCM of 676, 996, 437, 656

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


Find the LCM of 676, 996, 437, 656 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 676, 996, 437, 656. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 676,996,437,656

Given numbers are 676,996,437,656

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

The LCM of 676,996,437,656 is 12063444432.

Find LCM of 676,996,437,656 with Prime Factorization


2 676, 996, 437, 656
2 338, 498, 437, 328
169, 249, 437, 164

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

2 x 2 x 169 x 249 x 437 x 164 = 12063444432

Therefore, the lowest common multiple of 676,996,437,656 is 12063444432.

LCM Formula to Find Lowest Common Multiple of 676,996,437,656

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.

676 x 996 x 437 x 656 = 193015110912

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.

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

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

437 : 1, 19, 23, 437

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,996,437,656, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

996:2x 2x 3x 83

437:19x 23

656:2x 2x 2x 2x 41

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 2 = 16

Therefore, the value for common factors is 16.

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 = 193015110912/(1x16)

LCM = 193015110912/16

LCM = 12063444432

Thus, we can understand that the LCM of 676,996,437,656 is 12063444432.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 676, 996, 437, 656

1. What is the LCM of 676, 996, 437, 656?

Answer: LCM of 676, 996, 437, 656 is 12063444432.

2. How to calculate the LCM of 676, 996, 437, 656?

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 676, 996, 437, 656.

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}.