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LCM of 884, 462, 271, 940, 292

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


Find the LCM of 884, 462, 271, 940, 292 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 884, 462, 271, 940, 292. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 884,462,271,940,292

Given numbers are 884,462,271,940,292

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

The LCM of 884,462,271,940,292 is 949345417020.

Find LCM of 884,462,271,940,292 with Prime Factorization


2 884, 462, 271, 940, 292
2 442, 231, 271, 470, 146
221, 231, 271, 235, 73

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

2 x 2 x 221 x 231 x 271 x 235 x 73 = 949345417020

Therefore, the lowest common multiple of 884,462,271,940,292 is 949345417020.

LCM Formula to Find Lowest Common Multiple of 884,462,271,940,292

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.

884 x 462 x 271 x 940 x 292 = 30379053344640

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.

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

271 : 1, 271

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

292 : 1, 2, 4, 73, 146, 292

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,462,271,940,292, is 1.

Now, the common factors can be found like this.

884:2x 2x 13x 17

462:2x 3x 7x 11

271:271

940:2x 2x 5x 47

292:2x 2x 73

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 2x 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 30379053344640/(1x32)

LCM = 30379053344640/32

LCM = 949345417020

Thus, we can understand that the LCM of 884,462,271,940,292 is 949345417020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 884, 462, 271, 940, 292

1. What is the LCM of 884, 462, 271, 940, 292?

Answer: LCM of 884, 462, 271, 940, 292 is 949345417020.

2. How to calculate the LCM of 884, 462, 271, 940, 292?

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 884, 462, 271, 940, 292.

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}.