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LCM of 418, 674, 476, 232

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


Find the LCM of 418, 674, 476, 232 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, 674, 476, 232. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,674,476,232

Given numbers are 418,674,476,232

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

The LCM of 418,674,476,232 is 1944514264.

Find LCM of 418,674,476,232 with Prime Factorization


2 418, 674, 476, 232
2 209, 337, 238, 116
209, 337, 119, 58

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

2 x 2 x 209 x 337 x 119 x 58 = 1944514264

Therefore, the lowest common multiple of 418,674,476,232 is 1944514264.

LCM Formula to Find Lowest Common Multiple of 418,674,476,232

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 674 x 476 x 232 = 31112228224

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

674 : 1, 2, 337, 674

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

232 : 1, 2, 4, 8, 29, 58, 116, 232

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,674,476,232, is 2.

Now, the common factors can be found like this.

418:2x 11x 19

674:2x 337

476:2x 2x 7x 17

232:2x 2x 2x 29

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 2 = 8

Therefore, the value for common factors is 8.

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 = 31112228224/(2x8)

LCM = 31112228224/16

LCM = 1944514264

Thus, we can understand that the LCM of 418,674,476,232 is 1944514264.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 674, 476, 232

1. What is the LCM of 418, 674, 476, 232?

Answer: LCM of 418, 674, 476, 232 is 1944514264.

2. How to calculate the LCM of 418, 674, 476, 232?

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, 674, 476, 232.

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}.