LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 387, 960, 615, 590, 348

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


Find the LCM of 387, 960, 615, 590, 348 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 387, 960, 615, 590, 348. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 387,960,615,590,348

Given numbers are 387,960,615,590,348

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

The LCM of 387,960,615,590,348 is 8687499840.

Find LCM of 387,960,615,590,348 with Prime Factorization


2 387, 960, 615, 590, 348
2 387, 480, 615, 295, 174
3 387, 240, 615, 295, 87
5 129, 80, 205, 295, 29
129, 16, 41, 59, 29

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

2 x 2 x 3 x 5 x 129 x 16 x 41 x 59 x 29 = 8687499840

Therefore, the lowest common multiple of 387,960,615,590,348 is 8687499840.

LCM Formula to Find Lowest Common Multiple of 387,960,615,590,348

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.

387 x 960 x 615 x 590 x 348 = 46912499136000

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.

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

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

615 : 1, 3, 5, 15, 41, 123, 205, 615

590 : 1, 2, 5, 10, 59, 118, 295, 590

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,960,615,590,348, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

960:2x 2x 2x 2x 2x 2x 3x 5

615:3x 5x 41

590:2x 5x 59

348:2x 2x 3x 29

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 2x 3x 3x 3x 5x 5 = 5400

Therefore, the value for common factors is 5400.

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 = 46912499136000/(1x5400)

LCM = 46912499136000/5400

LCM = 8687499840

Thus, we can understand that the LCM of 387,960,615,590,348 is 8687499840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 387, 960, 615, 590, 348

1. What is the LCM of 387, 960, 615, 590, 348?

Answer: LCM of 387, 960, 615, 590, 348 is 8687499840.

2. How to calculate the LCM of 387, 960, 615, 590, 348?

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 387, 960, 615, 590, 348.

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}.