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LCM of 341, 627, 418, 262

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


Find the LCM of 341, 627, 418, 262 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 341, 627, 418, 262. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,627,418,262

Given numbers are 341,627,418,262

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

The LCM of 341,627,418,262 is 5092494.

Find LCM of 341,627,418,262 with Prime Factorization


2 341, 627, 418, 262
11 341, 627, 209, 131
19 31, 57, 19, 131
31, 3, 1, 131

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

2 x 11 x 19 x 31 x 3 x 1 x 131 = 5092494

Therefore, the lowest common multiple of 341,627,418,262 is 5092494.

LCM Formula to Find Lowest Common Multiple of 341,627,418,262

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.

341 x 627 x 418 x 262 = 23415287412

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.

341 : 1, 11, 31, 341

627 : 1, 3, 11, 19, 33, 57, 209, 627

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

262 : 1, 2, 131, 262

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,627,418,262, is 1.

Now, the common factors can be found like this.

341:11x 31

627:3x 11x 19

418:2x 11x 19

262:2x 131

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 11x 19 = 4598

Therefore, the value for common factors is 4598.

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 = 23415287412/(1x4598)

LCM = 23415287412/4598

LCM = 5092494

Thus, we can understand that the LCM of 341,627,418,262 is 5092494.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 627, 418, 262

1. What is the LCM of 341, 627, 418, 262?

Answer: LCM of 341, 627, 418, 262 is 5092494.

2. How to calculate the LCM of 341, 627, 418, 262?

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 341, 627, 418, 262.

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}.