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LCM of 543, 364, 101, 286

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


Find the LCM of 543, 364, 101, 286 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 543, 364, 101, 286. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 543,364,101,286

Given numbers are 543,364,101,286

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

The LCM of 543,364,101,286 is 219591372.

Find LCM of 543,364,101,286 with Prime Factorization


2 543, 364, 101, 286
13 543, 182, 101, 143
543, 14, 101, 11

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

2 x 13 x 543 x 14 x 101 x 11 = 219591372

Therefore, the lowest common multiple of 543,364,101,286 is 219591372.

LCM Formula to Find Lowest Common Multiple of 543,364,101,286

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.

543 x 364 x 101 x 286 = 5709375672

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.

543 : 1, 3, 181, 543

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

101 : 1, 101

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,364,101,286, is 1.

Now, the common factors can be found like this.

543:3x 181

364:2x 2x 7x 13

101:101

286:2x 11x 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 13 = 26

Therefore, the value for common factors is 26.

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 = 5709375672/(1x26)

LCM = 5709375672/26

LCM = 219591372

Thus, we can understand that the LCM of 543,364,101,286 is 219591372.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 543, 364, 101, 286

1. What is the LCM of 543, 364, 101, 286?

Answer: LCM of 543, 364, 101, 286 is 219591372.

2. How to calculate the LCM of 543, 364, 101, 286?

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 543, 364, 101, 286.

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}.