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LCM of 418, 656, 551, 352, 283

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


Find the LCM of 418, 656, 551, 352, 283 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 418, 656, 551, 352, 283. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,656,551,352,283

Given numbers are 418,656,551,352,283

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

The LCM of 418,656,551,352,283 is 2250425056.

Find LCM of 418,656,551,352,283 with Prime Factorization


2 418, 656, 551, 352, 283
2 209, 328, 551, 176, 283
2 209, 164, 551, 88, 283
2 209, 82, 551, 44, 283
11 209, 41, 551, 22, 283
19 19, 41, 551, 2, 283
1, 41, 29, 2, 283

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

2 x 2 x 2 x 2 x 11 x 19 x 1 x 41 x 29 x 2 x 283 = 2250425056

Therefore, the lowest common multiple of 418,656,551,352,283 is 2250425056.

LCM Formula to Find Lowest Common Multiple of 418,656,551,352,283

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.

418 x 656 x 551 x 352 x 283 = 15050842774528

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

551 : 1, 19, 29, 551

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

283 : 1, 283

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,656,551,352,283, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

656:2x 2x 2x 2x 41

551:19x 29

352:2x 2x 2x 2x 2x 11

283:283

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 2x 2x 11x 19 = 6688

Therefore, the value for common factors is 6688.

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 = 15050842774528/(1x6688)

LCM = 15050842774528/6688

LCM = 2250425056

Thus, we can understand that the LCM of 418,656,551,352,283 is 2250425056.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 656, 551, 352, 283

1. What is the LCM of 418, 656, 551, 352, 283?

Answer: LCM of 418, 656, 551, 352, 283 is 2250425056.

2. How to calculate the LCM of 418, 656, 551, 352, 283?

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 418, 656, 551, 352, 283.

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}.