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LCM of 581, 628, 298, 781, 387

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


Find the LCM of 581, 628, 298, 781, 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 581, 628, 298, 781, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 581,628,298,781,387

Given numbers are 581,628,298,781,387

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

The LCM of 581,628,298,781,387 is 16431758501004.

Find LCM of 581,628,298,781,387 with Prime Factorization


2 581, 628, 298, 781, 387
581, 314, 149, 781, 387

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

2 x 581 x 314 x 149 x 781 x 387 = 16431758501004

Therefore, the lowest common multiple of 581,628,298,781,387 is 16431758501004.

LCM Formula to Find Lowest Common Multiple of 581,628,298,781,387

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.

581 x 628 x 298 x 781 x 387 = 32863517002008

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.

581 : 1, 7, 83, 581

628 : 1, 2, 4, 157, 314, 628

298 : 1, 2, 149, 298

781 : 1, 11, 71, 781

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 581,628,298,781,387, is 1.

Now, the common factors can be found like this.

581:7x 83

628:2x 2x 157

298:2x 149

781:11x 71

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 = 32863517002008/(1x2)

LCM = 32863517002008/2

LCM = 16431758501004

Thus, we can understand that the LCM of 581,628,298,781,387 is 16431758501004.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 581, 628, 298, 781, 387

1. What is the LCM of 581, 628, 298, 781, 387?

Answer: LCM of 581, 628, 298, 781, 387 is 16431758501004.

2. How to calculate the LCM of 581, 628, 298, 781, 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 581, 628, 298, 781, 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}.