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LCM of 262, 309, 618, 474

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


Find the LCM of 262, 309, 618, 474 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 262, 309, 618, 474. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 262,309,618,474

Given numbers are 262,309,618,474

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

The LCM of 262,309,618,474 is 6395682.

Find LCM of 262,309,618,474 with Prime Factorization


2 262, 309, 618, 474
3 131, 309, 309, 237
103 131, 103, 103, 79
131, 1, 1, 79

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

2 x 3 x 103 x 131 x 1 x 1 x 79 = 6395682

Therefore, the lowest common multiple of 262,309,618,474 is 6395682.

LCM Formula to Find Lowest Common Multiple of 262,309,618,474

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.

262 x 309 x 618 x 474 = 23715188856

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.

262 : 1, 2, 131, 262

309 : 1, 3, 103, 309

618 : 1, 2, 3, 6, 103, 206, 309, 618

474 : 1, 2, 3, 6, 79, 158, 237, 474

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,309,618,474, is 1.

Now, the common factors can be found like this.

262:2x 131

309:3x 103

618:2x 3x 103

474:2x 3x 79

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 3x 3x 103 = 3708

Therefore, the value for common factors is 3708.

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 = 23715188856/(1x3708)

LCM = 23715188856/3708

LCM = 6395682

Thus, we can understand that the LCM of 262,309,618,474 is 6395682.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 262, 309, 618, 474

1. What is the LCM of 262, 309, 618, 474?

Answer: LCM of 262, 309, 618, 474 is 6395682.

2. How to calculate the LCM of 262, 309, 618, 474?

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 262, 309, 618, 474.

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}.