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LCM of 740, 579, 275, 466

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


Find the LCM of 740, 579, 275, 466 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 740, 579, 275, 466. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 740,579,275,466

Given numbers are 740,579,275,466

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

The LCM of 740,579,275,466 is 5490714900.

Find LCM of 740,579,275,466 with Prime Factorization


2 740, 579, 275, 466
5 370, 579, 275, 233
74, 579, 55, 233

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

2 x 5 x 74 x 579 x 55 x 233 = 5490714900

Therefore, the lowest common multiple of 740,579,275,466 is 5490714900.

LCM Formula to Find Lowest Common Multiple of 740,579,275,466

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.

740 x 579 x 275 x 466 = 54907149000

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.

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

579 : 1, 3, 193, 579

275 : 1, 5, 11, 25, 55, 275

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,579,275,466, is 1.

Now, the common factors can be found like this.

740:2x 2x 5x 37

579:3x 193

275:5x 5x 11

466:2x 233

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 54907149000/(1x10)

LCM = 54907149000/10

LCM = 5490714900

Thus, we can understand that the LCM of 740,579,275,466 is 5490714900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 740, 579, 275, 466

1. What is the LCM of 740, 579, 275, 466?

Answer: LCM of 740, 579, 275, 466 is 5490714900.

2. How to calculate the LCM of 740, 579, 275, 466?

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 740, 579, 275, 466.

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}.