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LCM of 395, 893, 342, 454, 312

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


Find the LCM of 395, 893, 342, 454, 312 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 395, 893, 342, 454, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 395,893,342,454,312

Given numbers are 395,893,342,454,312

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

The LCM of 395,893,342,454,312 is 74946310920.

Find LCM of 395,893,342,454,312 with Prime Factorization


2 395, 893, 342, 454, 312
3 395, 893, 171, 227, 156
19 395, 893, 57, 227, 52
395, 47, 3, 227, 52

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

2 x 3 x 19 x 395 x 47 x 3 x 227 x 52 = 74946310920

Therefore, the lowest common multiple of 395,893,342,454,312 is 74946310920.

LCM Formula to Find Lowest Common Multiple of 395,893,342,454,312

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.

395 x 893 x 342 x 454 x 312 = 17087758889760

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.

395 : 1, 5, 79, 395

893 : 1, 19, 47, 893

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

454 : 1, 2, 227, 454

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,893,342,454,312, is 1.

Now, the common factors can be found like this.

395:5x 79

893:19x 47

342:2x 3x 3x 19

454:2x 227

312:2x 2x 2x 3x 13

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 19 = 228

Therefore, the value for common factors is 228.

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 = 17087758889760/(1x228)

LCM = 17087758889760/228

LCM = 74946310920

Thus, we can understand that the LCM of 395,893,342,454,312 is 74946310920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 395, 893, 342, 454, 312

1. What is the LCM of 395, 893, 342, 454, 312?

Answer: LCM of 395, 893, 342, 454, 312 is 74946310920.

2. How to calculate the LCM of 395, 893, 342, 454, 312?

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 395, 893, 342, 454, 312.

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}.