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LCM of 284, 234, 378, 543

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


Find the LCM of 284, 234, 378, 543 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 284, 234, 378, 543. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 284,234,378,543

Given numbers are 284,234,378,543

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

The LCM of 284,234,378,543 is 126299628.

Find LCM of 284,234,378,543 with Prime Factorization


2 284, 234, 378, 543
3 142, 117, 189, 543
3 142, 39, 63, 181
142, 13, 21, 181

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

2 x 3 x 3 x 142 x 13 x 21 x 181 = 126299628

Therefore, the lowest common multiple of 284,234,378,543 is 126299628.

LCM Formula to Find Lowest Common Multiple of 284,234,378,543

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.

284 x 234 x 378 x 543 = 13640359824

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.

284 : 1, 2, 4, 71, 142, 284

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

543 : 1, 3, 181, 543

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,234,378,543, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

234:2x 3x 3x 13

378:2x 3x 3x 3x 7

543:3x 181

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 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 13640359824/(1x108)

LCM = 13640359824/108

LCM = 126299628

Thus, we can understand that the LCM of 284,234,378,543 is 126299628.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 284, 234, 378, 543

1. What is the LCM of 284, 234, 378, 543?

Answer: LCM of 284, 234, 378, 543 is 126299628.

2. How to calculate the LCM of 284, 234, 378, 543?

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 284, 234, 378, 543.

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}.