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LCM of 747, 741, 287, 731

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


Find the LCM of 747, 741, 287, 731 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 747, 741, 287, 731. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 747,741,287,731

Given numbers are 747,741,287,731

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

The LCM of 747,741,287,731 is 38709434673.

Find LCM of 747,741,287,731 with Prime Factorization


3 747, 741, 287, 731
249, 247, 287, 731

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

3 x 249 x 247 x 287 x 731 = 38709434673

Therefore, the lowest common multiple of 747,741,287,731 is 38709434673.

LCM Formula to Find Lowest Common Multiple of 747,741,287,731

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.

747 x 741 x 287 x 731 = 116128304019

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.

747 : 1, 3, 9, 83, 249, 747

741 : 1, 3, 13, 19, 39, 57, 247, 741

287 : 1, 7, 41, 287

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,741,287,731, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

741:3x 13x 19

287:7x 41

731:17x 43

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

3 = 3

Therefore, the value for common factors is 3.

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 = 116128304019/(1x3)

LCM = 116128304019/3

LCM = 38709434673

Thus, we can understand that the LCM of 747,741,287,731 is 38709434673.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 747, 741, 287, 731

1. What is the LCM of 747, 741, 287, 731?

Answer: LCM of 747, 741, 287, 731 is 38709434673.

2. How to calculate the LCM of 747, 741, 287, 731?

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 747, 741, 287, 731.

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}.