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LCM of 343, 650, 502, 743

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


Find the LCM of 343, 650, 502, 743 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, 650, 502, 743. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 343,650,502,743

Given numbers are 343,650,502,743

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

The LCM of 343,650,502,743 is 41578614350.

Find LCM of 343,650,502,743 with Prime Factorization


2 343, 650, 502, 743
343, 325, 251, 743

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

2 x 343 x 325 x 251 x 743 = 41578614350

Therefore, the lowest common multiple of 343,650,502,743 is 41578614350.

LCM Formula to Find Lowest Common Multiple of 343,650,502,743

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 650 x 502 x 743 = 83157228700

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

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

502 : 1, 2, 251, 502

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,650,502,743, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

650:2x 5x 5x 13

502:2x 251

743:743

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 = 83157228700/(1x2)

LCM = 83157228700/2

LCM = 41578614350

Thus, we can understand that the LCM of 343,650,502,743 is 41578614350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 343, 650, 502, 743

1. What is the LCM of 343, 650, 502, 743?

Answer: LCM of 343, 650, 502, 743 is 41578614350.

2. How to calculate the LCM of 343, 650, 502, 743?

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, 650, 502, 743.

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}.