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LCM of 883, 260, 663, 213, 464

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


Find the LCM of 883, 260, 663, 213, 464 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 883, 260, 663, 213, 464. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 883,260,663,213,464

Given numbers are 883,260,663,213,464

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

The LCM of 883,260,663,213,464 is 96431864880.

Find LCM of 883,260,663,213,464 with Prime Factorization


2 883, 260, 663, 213, 464
2 883, 130, 663, 213, 232
3 883, 65, 663, 213, 116
13 883, 65, 221, 71, 116
883, 5, 17, 71, 116

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

2 x 2 x 3 x 13 x 883 x 5 x 17 x 71 x 116 = 96431864880

Therefore, the lowest common multiple of 883,260,663,213,464 is 96431864880.

LCM Formula to Find Lowest Common Multiple of 883,260,663,213,464

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.

883 x 260 x 663 x 213 x 464 = 15043370921280

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.

883 : 1, 883

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

663 : 1, 3, 13, 17, 39, 51, 221, 663

213 : 1, 3, 71, 213

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 883,260,663,213,464, is 1.

Now, the common factors can be found like this.

883:883

260:2x 2x 5x 13

663:3x 13x 17

213:3x 71

464:2x 2x 2x 2x 29

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 3x 13 = 156

Therefore, the value for common factors is 156.

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 = 15043370921280/(1x156)

LCM = 15043370921280/156

LCM = 96431864880

Thus, we can understand that the LCM of 883,260,663,213,464 is 96431864880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 883, 260, 663, 213, 464

1. What is the LCM of 883, 260, 663, 213, 464?

Answer: LCM of 883, 260, 663, 213, 464 is 96431864880.

2. How to calculate the LCM of 883, 260, 663, 213, 464?

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 883, 260, 663, 213, 464.

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}.