LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 343, 364, 701, 246

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


Find the LCM of 343, 364, 701, 246 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, 364, 701, 246. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 343,364,701,246

Given numbers are 343,364,701,246

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

The LCM of 343,364,701,246 is 1537873428.

Find LCM of 343,364,701,246 with Prime Factorization


2 343, 364, 701, 246
7 343, 182, 701, 123
49, 26, 701, 123

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

2 x 7 x 49 x 26 x 701 x 123 = 1537873428

Therefore, the lowest common multiple of 343,364,701,246 is 1537873428.

LCM Formula to Find Lowest Common Multiple of 343,364,701,246

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 364 x 701 x 246 = 21530227992

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

701 : 1, 701

246 : 1, 2, 3, 6, 41, 82, 123, 246

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,364,701,246, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

364:2x 2x 7x 13

701:701

246:2x 3x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 21530227992/(1x14)

LCM = 21530227992/14

LCM = 1537873428

Thus, we can understand that the LCM of 343,364,701,246 is 1537873428.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 343, 364, 701, 246

1. What is the LCM of 343, 364, 701, 246?

Answer: LCM of 343, 364, 701, 246 is 1537873428.

2. How to calculate the LCM of 343, 364, 701, 246?

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, 364, 701, 246.

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}.