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LCM of 283, 557, 508, 676, 270

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


Find the LCM of 283, 557, 508, 676, 270 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 283, 557, 508, 676, 270. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 283,557,508,676,270

Given numbers are 283,557,508,676,270

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

The LCM of 283,557,508,676,270 is 1826946442620.

Find LCM of 283,557,508,676,270 with Prime Factorization


2 283, 557, 508, 676, 270
2 283, 557, 254, 338, 135
283, 557, 127, 169, 135

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

2 x 2 x 283 x 557 x 127 x 169 x 135 = 1826946442620

Therefore, the lowest common multiple of 283,557,508,676,270 is 1826946442620.

LCM Formula to Find Lowest Common Multiple of 283,557,508,676,270

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.

283 x 557 x 508 x 676 x 270 = 14615571540960

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.

283 : 1, 283

557 : 1, 557

508 : 1, 2, 4, 127, 254, 508

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,557,508,676,270, is 1.

Now, the common factors can be found like this.

283:283

557:557

508:2x 2x 127

676:2x 2x 13x 13

270:2x 3x 3x 3x 5

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 2 = 8

Therefore, the value for common factors is 8.

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 = 14615571540960/(1x8)

LCM = 14615571540960/8

LCM = 1826946442620

Thus, we can understand that the LCM of 283,557,508,676,270 is 1826946442620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 283, 557, 508, 676, 270

1. What is the LCM of 283, 557, 508, 676, 270?

Answer: LCM of 283, 557, 508, 676, 270 is 1826946442620.

2. How to calculate the LCM of 283, 557, 508, 676, 270?

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 283, 557, 508, 676, 270.

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}.