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LCM of 566, 701, 301, 701, 418

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


Find the LCM of 566, 701, 301, 701, 418 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 566, 701, 301, 701, 418. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 566,701,301,701,418

Given numbers are 566,701,301,701,418

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

The LCM of 566,701,301,701,418 is 24960152294.

Find LCM of 566,701,301,701,418 with Prime Factorization


2 566, 701, 301, 701, 418
701 283, 701, 301, 701, 209
283, 1, 301, 1, 209

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

2 x 701 x 283 x 1 x 301 x 1 x 209 = 24960152294

Therefore, the lowest common multiple of 566,701,301,701,418 is 24960152294.

LCM Formula to Find Lowest Common Multiple of 566,701,301,701,418

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.

566 x 701 x 301 x 701 x 418 = 34994133516188

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.

566 : 1, 2, 283, 566

701 : 1, 701

301 : 1, 7, 43, 301

701 : 1, 701

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,701,301,701,418, is 1.

Now, the common factors can be found like this.

566:2x 283

701:701

301:7x 43

701:701

418:2x 11x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 701 = 1402

Therefore, the value for common factors is 1402.

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 = 34994133516188/(1x1402)

LCM = 34994133516188/1402

LCM = 24960152294

Thus, we can understand that the LCM of 566,701,301,701,418 is 24960152294.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 566, 701, 301, 701, 418

1. What is the LCM of 566, 701, 301, 701, 418?

Answer: LCM of 566, 701, 301, 701, 418 is 24960152294.

2. How to calculate the LCM of 566, 701, 301, 701, 418?

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 566, 701, 301, 701, 418.

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}.