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LCM of 374, 493, 891, 667, 676

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


Find the LCM of 374, 493, 891, 667, 676 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 374, 493, 891, 667, 676. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 374,493,891,667,676

Given numbers are 374,493,891,667,676

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

The LCM of 374,493,891,667,676 is 6829661124.

Find LCM of 374,493,891,667,676 with Prime Factorization


2 374, 493, 891, 667, 676
11 187, 493, 891, 667, 338
17 17, 493, 81, 667, 338
29 1, 29, 81, 667, 338
1, 1, 81, 23, 338

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

2 x 11 x 17 x 29 x 1 x 1 x 81 x 23 x 338 = 6829661124

Therefore, the lowest common multiple of 374,493,891,667,676 is 6829661124.

LCM Formula to Find Lowest Common Multiple of 374,493,891,667,676

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.

374 x 493 x 891 x 667 x 676 = 74074504550904

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.

374 : 1, 2, 11, 17, 22, 34, 187, 374

493 : 1, 17, 29, 493

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

667 : 1, 23, 29, 667

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,493,891,667,676, is 1.

Now, the common factors can be found like this.

374:2x 11x 17

493:17x 29

891:3x 3x 3x 3x 11

667:23x 29

676:2x 2x 13x 13

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

2x 11x 17x 29 = 10846

Therefore, the value for common factors is 10846.

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 = 74074504550904/(1x10846)

LCM = 74074504550904/10846

LCM = 6829661124

Thus, we can understand that the LCM of 374,493,891,667,676 is 6829661124.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 374, 493, 891, 667, 676

1. What is the LCM of 374, 493, 891, 667, 676?

Answer: LCM of 374, 493, 891, 667, 676 is 6829661124.

2. How to calculate the LCM of 374, 493, 891, 667, 676?

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 374, 493, 891, 667, 676.

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}.