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LCM of 418, 224, 283, 473, 387

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


Find the LCM of 418, 224, 283, 473, 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 418, 224, 283, 473, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,224,283,473,387

Given numbers are 418,224,283,473,387

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

The LCM of 418,224,283,473,387 is 5127335136.

Find LCM of 418,224,283,473,387 with Prime Factorization


2 418, 224, 283, 473, 387
11 209, 112, 283, 473, 387
43 19, 112, 283, 43, 387
19, 112, 283, 1, 9

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

2 x 11 x 43 x 19 x 112 x 283 x 1 x 9 = 5127335136

Therefore, the lowest common multiple of 418,224,283,473,387 is 5127335136.

LCM Formula to Find Lowest Common Multiple of 418,224,283,473,387

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.

418 x 224 x 283 x 473 x 387 = 4850459038656

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

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

283 : 1, 283

473 : 1, 11, 43, 473

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 418,224,283,473,387, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

224:2x 2x 2x 2x 2x 7

283:283

473:11x 43

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.

2x 11x 43 = 946

Therefore, the value for common factors is 946.

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 = 4850459038656/(1x946)

LCM = 4850459038656/946

LCM = 5127335136

Thus, we can understand that the LCM of 418,224,283,473,387 is 5127335136.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 224, 283, 473, 387

1. What is the LCM of 418, 224, 283, 473, 387?

Answer: LCM of 418, 224, 283, 473, 387 is 5127335136.

2. How to calculate the LCM of 418, 224, 283, 473, 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 418, 224, 283, 473, 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}.