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LCM of 914, 575, 364, 742

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


Find the LCM of 914, 575, 364, 742 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 914, 575, 364, 742. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 914,575,364,742

Given numbers are 914,575,364,742

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

The LCM of 914,575,364,742 is 5069455300.

Find LCM of 914,575,364,742 with Prime Factorization


2 914, 575, 364, 742
7 457, 575, 182, 371
457, 575, 26, 53

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

2 x 7 x 457 x 575 x 26 x 53 = 5069455300

Therefore, the lowest common multiple of 914,575,364,742 is 5069455300.

LCM Formula to Find Lowest Common Multiple of 914,575,364,742

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.

914 x 575 x 364 x 742 = 141944748400

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.

914 : 1, 2, 457, 914

575 : 1, 5, 23, 25, 115, 575

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,575,364,742, is 1.

Now, the common factors can be found like this.

914:2x 457

575:5x 5x 23

364:2x 2x 7x 13

742:2x 7x 53

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

2x 2x 7 = 28

Therefore, the value for common factors is 28.

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 = 141944748400/(1x28)

LCM = 141944748400/28

LCM = 5069455300

Thus, we can understand that the LCM of 914,575,364,742 is 5069455300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 914, 575, 364, 742

1. What is the LCM of 914, 575, 364, 742?

Answer: LCM of 914, 575, 364, 742 is 5069455300.

2. How to calculate the LCM of 914, 575, 364, 742?

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 914, 575, 364, 742.

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}.