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LCM of 660, 265, 605, 957

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


Find the LCM of 660, 265, 605, 957 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 660, 265, 605, 957. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 660,265,605,957

Given numbers are 660,265,605,957

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

The LCM of 660,265,605,957 is 11158620.

Find LCM of 660,265,605,957 with Prime Factorization


3 660, 265, 605, 957
5 220, 265, 605, 319
11 44, 53, 121, 319
4, 53, 11, 29

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

3 x 5 x 11 x 4 x 53 x 11 x 29 = 11158620

Therefore, the lowest common multiple of 660,265,605,957 is 11158620.

LCM Formula to Find Lowest Common Multiple of 660,265,605,957

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.

660 x 265 x 605 x 957 = 101264476500

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.

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

265 : 1, 5, 53, 265

605 : 1, 5, 11, 55, 121, 605

957 : 1, 3, 11, 29, 33, 87, 319, 957

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,265,605,957, is 1.

Now, the common factors can be found like this.

660:2x 2x 3x 5x 11

265:5x 53

605:5x 11x 11

957:3x 11x 29

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

3x 5x 5x 11x 11 = 9075

Therefore, the value for common factors is 9075.

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 = 101264476500/(1x9075)

LCM = 101264476500/9075

LCM = 11158620

Thus, we can understand that the LCM of 660,265,605,957 is 11158620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 660, 265, 605, 957

1. What is the LCM of 660, 265, 605, 957?

Answer: LCM of 660, 265, 605, 957 is 11158620.

2. How to calculate the LCM of 660, 265, 605, 957?

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 660, 265, 605, 957.

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}.