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LCM of 428, 318, 636, 604, 241

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


Find the LCM of 428, 318, 636, 604, 241 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 428, 318, 636, 604, 241. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 428,318,636,604,241

Given numbers are 428,318,636,604,241

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

The LCM of 428,318,636,604,241 is 2476480332.

Find LCM of 428,318,636,604,241 with Prime Factorization


2 428, 318, 636, 604, 241
2 214, 159, 318, 302, 241
3 107, 159, 159, 151, 241
53 107, 53, 53, 151, 241
107, 1, 1, 151, 241

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

2 x 2 x 3 x 53 x 107 x 1 x 1 x 151 x 241 = 2476480332

Therefore, the lowest common multiple of 428,318,636,604,241 is 2476480332.

LCM Formula to Find Lowest Common Multiple of 428,318,636,604,241

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.

428 x 318 x 636 x 604 x 241 = 12600331929216

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.

428 : 1, 2, 4, 107, 214, 428

318 : 1, 2, 3, 6, 53, 106, 159, 318

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

604 : 1, 2, 4, 151, 302, 604

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,318,636,604,241, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

318:2x 3x 53

636:2x 2x 3x 53

604:2x 2x 151

241:241

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 3x 53 = 5088

Therefore, the value for common factors is 5088.

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 = 12600331929216/(1x5088)

LCM = 12600331929216/5088

LCM = 2476480332

Thus, we can understand that the LCM of 428,318,636,604,241 is 2476480332.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 428, 318, 636, 604, 241

1. What is the LCM of 428, 318, 636, 604, 241?

Answer: LCM of 428, 318, 636, 604, 241 is 2476480332.

2. How to calculate the LCM of 428, 318, 636, 604, 241?

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 428, 318, 636, 604, 241.

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}.