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LCM of 677, 374, 468, 421

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


Find the LCM of 677, 374, 468, 421 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 677, 374, 468, 421. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 677,374,468,421

Given numbers are 677,374,468,421

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

The LCM of 677,374,468,421 is 24943547772.

Find LCM of 677,374,468,421 with Prime Factorization


2 677, 374, 468, 421
677, 187, 234, 421

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

2 x 677 x 187 x 234 x 421 = 24943547772

Therefore, the lowest common multiple of 677,374,468,421 is 24943547772.

LCM Formula to Find Lowest Common Multiple of 677,374,468,421

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.

677 x 374 x 468 x 421 = 49887095544

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.

677 : 1, 677

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,374,468,421, is 1.

Now, the common factors can be found like this.

677:677

374:2x 11x 17

468:2x 2x 3x 3x 13

421:421

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

2 = 2

Therefore, the value for common factors is 2.

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 = 49887095544/(1x2)

LCM = 49887095544/2

LCM = 24943547772

Thus, we can understand that the LCM of 677,374,468,421 is 24943547772.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 677, 374, 468, 421

1. What is the LCM of 677, 374, 468, 421?

Answer: LCM of 677, 374, 468, 421 is 24943547772.

2. How to calculate the LCM of 677, 374, 468, 421?

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 677, 374, 468, 421.

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}.