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LCM of 743, 682, 682, 943

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


Find the LCM of 743, 682, 682, 943 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 743, 682, 682, 943. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 743,682,682,943

Given numbers are 743,682,682,943

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

The LCM of 743,682,682,943 is 477842618.

Find LCM of 743,682,682,943 with Prime Factorization


2 743, 682, 682, 943
11 743, 341, 341, 943
31 743, 31, 31, 943
743, 1, 1, 943

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

2 x 11 x 31 x 743 x 1 x 1 x 943 = 477842618

Therefore, the lowest common multiple of 743,682,682,943 is 477842618.

LCM Formula to Find Lowest Common Multiple of 743,682,682,943

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.

743 x 682 x 682 x 943 = 325888665476

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.

743 : 1, 743

682 : 1, 2, 11, 22, 31, 62, 341, 682

682 : 1, 2, 11, 22, 31, 62, 341, 682

943 : 1, 23, 41, 943

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,682,682,943, is 1.

Now, the common factors can be found like this.

743:743

682:2x 11x 31

682:2x 11x 31

943:23x 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 11x 31 = 682

Therefore, the value for common factors is 682.

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 = 325888665476/(1x682)

LCM = 325888665476/682

LCM = 477842618

Thus, we can understand that the LCM of 743,682,682,943 is 477842618.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 743, 682, 682, 943

1. What is the LCM of 743, 682, 682, 943?

Answer: LCM of 743, 682, 682, 943 is 477842618.

2. How to calculate the LCM of 743, 682, 682, 943?

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 743, 682, 682, 943.

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}.