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LCM of 368, 387, 762, 839, 543

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


Find the LCM of 368, 387, 762, 839, 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 368, 387, 762, 839, 543. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 368,387,762,839,543

Given numbers are 368,387,762,839,543

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

The LCM of 368,387,762,839,543 is 2746648220688.

Find LCM of 368,387,762,839,543 with Prime Factorization


2 368, 387, 762, 839, 543
3 184, 387, 381, 839, 543
184, 129, 127, 839, 181

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

2 x 3 x 184 x 129 x 127 x 839 x 181 = 2746648220688

Therefore, the lowest common multiple of 368,387,762,839,543 is 2746648220688.

LCM Formula to Find Lowest Common Multiple of 368,387,762,839,543

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.

368 x 387 x 762 x 839 x 543 = 49439667972384

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

387 : 1, 3, 9, 43, 129, 387

762 : 1, 2, 3, 6, 127, 254, 381, 762

839 : 1, 839

543 : 1, 3, 181, 543

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,387,762,839,543, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

387:3x 3x 43

762:2x 3x 127

839:839

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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 49439667972384/(1x18)

LCM = 49439667972384/18

LCM = 2746648220688

Thus, we can understand that the LCM of 368,387,762,839,543 is 2746648220688.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 368, 387, 762, 839, 543

1. What is the LCM of 368, 387, 762, 839, 543?

Answer: LCM of 368, 387, 762, 839, 543 is 2746648220688.

2. How to calculate the LCM of 368, 387, 762, 839, 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 368, 387, 762, 839, 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}.