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LCM of 379, 442, 477, 424

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


Find the LCM of 379, 442, 477, 424 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 379, 442, 477, 424. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 379,442,477,424

Given numbers are 379,442,477,424

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

The LCM of 379,442,477,424 is 319624344.

Find LCM of 379,442,477,424 with Prime Factorization


2 379, 442, 477, 424
53 379, 221, 477, 212
379, 221, 9, 4

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

2 x 53 x 379 x 221 x 9 x 4 = 319624344

Therefore, the lowest common multiple of 379,442,477,424 is 319624344.

LCM Formula to Find Lowest Common Multiple of 379,442,477,424

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.

379 x 442 x 477 x 424 = 33880180464

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.

379 : 1, 379

442 : 1, 2, 13, 17, 26, 34, 221, 442

477 : 1, 3, 9, 53, 159, 477

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,442,477,424, is 1.

Now, the common factors can be found like this.

379:379

442:2x 13x 17

477:3x 3x 53

424:2x 2x 2x 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 53 = 106

Therefore, the value for common factors is 106.

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 = 33880180464/(1x106)

LCM = 33880180464/106

LCM = 319624344

Thus, we can understand that the LCM of 379,442,477,424 is 319624344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 379, 442, 477, 424

1. What is the LCM of 379, 442, 477, 424?

Answer: LCM of 379, 442, 477, 424 is 319624344.

2. How to calculate the LCM of 379, 442, 477, 424?

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 379, 442, 477, 424.

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}.