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LCM of 718, 650, 280, 242

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


Find the LCM of 718, 650, 280, 242 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 718, 650, 280, 242. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 718,650,280,242

Given numbers are 718,650,280,242

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

The LCM of 718,650,280,242 is 790589800.

Find LCM of 718,650,280,242 with Prime Factorization


2 718, 650, 280, 242
5 359, 325, 140, 121
359, 65, 28, 121

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

2 x 5 x 359 x 65 x 28 x 121 = 790589800

Therefore, the lowest common multiple of 718,650,280,242 is 790589800.

LCM Formula to Find Lowest Common Multiple of 718,650,280,242

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.

718 x 650 x 280 x 242 = 31623592000

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.

718 : 1, 2, 359, 718

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

242 : 1, 2, 11, 22, 121, 242

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 718,650,280,242, is 2.

Now, the common factors can be found like this.

718:2x 359

650:2x 5x 5x 13

280:2x 2x 2x 5x 7

242:2x 11x 11

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 5 = 20

Therefore, the value for common factors is 20.

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 = 31623592000/(2x20)

LCM = 31623592000/40

LCM = 790589800

Thus, we can understand that the LCM of 718,650,280,242 is 790589800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 718, 650, 280, 242

1. What is the LCM of 718, 650, 280, 242?

Answer: LCM of 718, 650, 280, 242 is 790589800.

2. How to calculate the LCM of 718, 650, 280, 242?

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 718, 650, 280, 242.

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}.