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LCM of 294, 377, 342, 380

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


Find the LCM of 294, 377, 342, 380 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 294, 377, 342, 380. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 294,377,342,380

Given numbers are 294,377,342,380

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

The LCM of 294,377,342,380 is 63177660.

Find LCM of 294,377,342,380 with Prime Factorization


2 294, 377, 342, 380
3 147, 377, 171, 190
19 49, 377, 57, 190
49, 377, 3, 10

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

2 x 3 x 19 x 49 x 377 x 3 x 10 = 63177660

Therefore, the lowest common multiple of 294,377,342,380 is 63177660.

LCM Formula to Find Lowest Common Multiple of 294,377,342,380

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.

294 x 377 x 342 x 380 = 14404506480

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.

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

377 : 1, 13, 29, 377

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,377,342,380, is 1.

Now, the common factors can be found like this.

294:2x 3x 7x 7

377:13x 29

342:2x 3x 3x 19

380:2x 2x 5x 19

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 3x 19 = 228

Therefore, the value for common factors is 228.

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 = 14404506480/(1x228)

LCM = 14404506480/228

LCM = 63177660

Thus, we can understand that the LCM of 294,377,342,380 is 63177660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 294, 377, 342, 380

1. What is the LCM of 294, 377, 342, 380?

Answer: LCM of 294, 377, 342, 380 is 63177660.

2. How to calculate the LCM of 294, 377, 342, 380?

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 294, 377, 342, 380.

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}.