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LCM of 953, 963, 261, 580

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


Find the LCM of 953, 963, 261, 580 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 953, 963, 261, 580. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 953,963,261,580

Given numbers are 953,963,261,580

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

The LCM of 953,963,261,580 is 532288620.

Find LCM of 953,963,261,580 with Prime Factorization


3 953, 963, 261, 580
3 953, 321, 87, 580
29 953, 107, 29, 580
953, 107, 1, 20

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

3 x 3 x 29 x 953 x 107 x 1 x 20 = 532288620

Therefore, the lowest common multiple of 953,963,261,580 is 532288620.

LCM Formula to Find Lowest Common Multiple of 953,963,261,580

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.

953 x 963 x 261 x 580 = 138927329820

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.

953 : 1, 953

963 : 1, 3, 9, 107, 321, 963

261 : 1, 3, 9, 29, 87, 261

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,963,261,580, is 1.

Now, the common factors can be found like this.

953:953

963:3x 3x 107

261:3x 3x 29

580:2x 2x 5x 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 3x 29 = 261

Therefore, the value for common factors is 261.

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 = 138927329820/(1x261)

LCM = 138927329820/261

LCM = 532288620

Thus, we can understand that the LCM of 953,963,261,580 is 532288620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 953, 963, 261, 580

1. What is the LCM of 953, 963, 261, 580?

Answer: LCM of 953, 963, 261, 580 is 532288620.

2. How to calculate the LCM of 953, 963, 261, 580?

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 953, 963, 261, 580.

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}.