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LCM of 343, 446, 841, 341, 312

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


Find the LCM of 343, 446, 841, 341, 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 343, 446, 841, 341, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 343,446,841,341,312

Given numbers are 343,446,841,341,312

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

The LCM of 343,446,841,341,312 is 6843904675608.

Find LCM of 343,446,841,341,312 with Prime Factorization


2 343, 446, 841, 341, 312
343, 223, 841, 341, 156

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

2 x 343 x 223 x 841 x 341 x 156 = 6843904675608

Therefore, the lowest common multiple of 343,446,841,341,312 is 6843904675608.

LCM Formula to Find Lowest Common Multiple of 343,446,841,341,312

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.

343 x 446 x 841 x 341 x 312 = 13687809351216

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.

343 : 1, 7, 49, 343

446 : 1, 2, 223, 446

841 : 1, 29, 841

341 : 1, 11, 31, 341

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 343,446,841,341,312, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

446:2x 223

841:29x 29

341:11x 31

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 13687809351216/(1x2)

LCM = 13687809351216/2

LCM = 6843904675608

Thus, we can understand that the LCM of 343,446,841,341,312 is 6843904675608.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 343, 446, 841, 341, 312

1. What is the LCM of 343, 446, 841, 341, 312?

Answer: LCM of 343, 446, 841, 341, 312 is 6843904675608.

2. How to calculate the LCM of 343, 446, 841, 341, 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 343, 446, 841, 341, 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}.