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LCM of 382, 623, 428, 335, 387

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


Find the LCM of 382, 623, 428, 335, 387 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 382, 623, 428, 335, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,623,428,335,387

Given numbers are 382,623,428,335,387

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

The LCM of 382,623,428,335,387 is 6602690723580.

Find LCM of 382,623,428,335,387 with Prime Factorization


2 382, 623, 428, 335, 387
191, 623, 214, 335, 387

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

2 x 191 x 623 x 214 x 335 x 387 = 6602690723580

Therefore, the lowest common multiple of 382,623,428,335,387 is 6602690723580.

LCM Formula to Find Lowest Common Multiple of 382,623,428,335,387

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.

382 x 623 x 428 x 335 x 387 = 13205381447160

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.

382 : 1, 2, 191, 382

623 : 1, 7, 89, 623

428 : 1, 2, 4, 107, 214, 428

335 : 1, 5, 67, 335

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,623,428,335,387, is 1.

Now, the common factors can be found like this.

382:2x 191

623:7x 89

428:2x 2x 107

335:5x 67

387:3x 3x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 13205381447160/(1x2)

LCM = 13205381447160/2

LCM = 6602690723580

Thus, we can understand that the LCM of 382,623,428,335,387 is 6602690723580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 382, 623, 428, 335, 387

1. What is the LCM of 382, 623, 428, 335, 387?

Answer: LCM of 382, 623, 428, 335, 387 is 6602690723580.

2. How to calculate the LCM of 382, 623, 428, 335, 387?

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 382, 623, 428, 335, 387.

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}.