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LCM of 292, 426, 840, 916, 273

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


Find the LCM of 292, 426, 840, 916, 273 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 292, 426, 840, 916, 273. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 292,426,840,916,273

Given numbers are 292,426,840,916,273

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

The LCM of 292,426,840,916,273 is 12961024440.

Find LCM of 292,426,840,916,273 with Prime Factorization


2 292, 426, 840, 916, 273
2 146, 213, 420, 458, 273
3 73, 213, 210, 229, 273
7 73, 71, 70, 229, 91
73, 71, 10, 229, 13

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

2 x 2 x 3 x 7 x 73 x 71 x 10 x 229 x 13 = 12961024440

Therefore, the lowest common multiple of 292,426,840,916,273 is 12961024440.

LCM Formula to Find Lowest Common Multiple of 292,426,840,916,273

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.

292 x 426 x 840 x 916 x 273 = 26129425271040

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.

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

426 : 1, 2, 3, 6, 71, 142, 213, 426

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

916 : 1, 2, 4, 229, 458, 916

273 : 1, 3, 7, 13, 21, 39, 91, 273

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,426,840,916,273, is 1.

Now, the common factors can be found like this.

292:2x 2x 73

426:2x 3x 71

840:2x 2x 2x 3x 5x 7

916:2x 2x 229

273:3x 7x 13

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 2x 3x 3x 7 = 2016

Therefore, the value for common factors is 2016.

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 = 26129425271040/(1x2016)

LCM = 26129425271040/2016

LCM = 12961024440

Thus, we can understand that the LCM of 292,426,840,916,273 is 12961024440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 292, 426, 840, 916, 273

1. What is the LCM of 292, 426, 840, 916, 273?

Answer: LCM of 292, 426, 840, 916, 273 is 12961024440.

2. How to calculate the LCM of 292, 426, 840, 916, 273?

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 292, 426, 840, 916, 273.

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}.