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LCM of 913, 308, 574, 743

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


Find the LCM of 913, 308, 574, 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 913, 308, 574, 743. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 913,308,574,743

Given numbers are 913,308,574,743

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

The LCM of 913,308,574,743 is 778756132.

Find LCM of 913,308,574,743 with Prime Factorization


2 913, 308, 574, 743
7 913, 154, 287, 743
11 913, 22, 41, 743
83, 2, 41, 743

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

2 x 7 x 11 x 83 x 2 x 41 x 743 = 778756132

Therefore, the lowest common multiple of 913,308,574,743 is 778756132.

LCM Formula to Find Lowest Common Multiple of 913,308,574,743

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.

913 x 308 x 574 x 743 = 119928444328

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.

913 : 1, 11, 83, 913

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

574 : 1, 2, 7, 14, 41, 82, 287, 574

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,308,574,743, is 1.

Now, the common factors can be found like this.

913:11x 83

308:2x 2x 7x 11

574:2x 7x 41

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.

2x 7x 11 = 154

Therefore, the value for common factors is 154.

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 = 119928444328/(1x154)

LCM = 119928444328/154

LCM = 778756132

Thus, we can understand that the LCM of 913,308,574,743 is 778756132.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 913, 308, 574, 743

1. What is the LCM of 913, 308, 574, 743?

Answer: LCM of 913, 308, 574, 743 is 778756132.

2. How to calculate the LCM of 913, 308, 574, 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 913, 308, 574, 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}.