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LCM of 994, 306, 344, 256, 272

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


Find the LCM of 994, 306, 344, 256, 272 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 994, 306, 344, 256, 272. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 994,306,344,256,272

Given numbers are 994,306,344,256,272

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

The LCM of 994,306,344,256,272 is 837059328.

Find LCM of 994,306,344,256,272 with Prime Factorization


2 994, 306, 344, 256, 272
2 497, 153, 172, 128, 136
2 497, 153, 86, 64, 68
2 497, 153, 43, 32, 34
17 497, 153, 43, 16, 17
497, 9, 43, 16, 1

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

2 x 2 x 2 x 2 x 17 x 497 x 9 x 43 x 16 x 1 = 837059328

Therefore, the lowest common multiple of 994,306,344,256,272 is 837059328.

LCM Formula to Find Lowest Common Multiple of 994,306,344,256,272

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.

994 x 306 x 344 x 256 x 272 = 7285764390912

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.

994 : 1, 2, 7, 14, 71, 142, 497, 994

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

344 : 1, 2, 4, 8, 43, 86, 172, 344

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,306,344,256,272, is 2.

Now, the common factors can be found like this.

994:2x 7x 71

306:2x 3x 3x 17

344:2x 2x 2x 43

256:2x 2x 2x 2x 2x 2x 2x 2

272:2x 2x 2x 2x 17

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 2x 2x 2x 17 = 4352

Therefore, the value for common factors is 4352.

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 = 7285764390912/(2x4352)

LCM = 7285764390912/8704

LCM = 837059328

Thus, we can understand that the LCM of 994,306,344,256,272 is 837059328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 994, 306, 344, 256, 272

1. What is the LCM of 994, 306, 344, 256, 272?

Answer: LCM of 994, 306, 344, 256, 272 is 837059328.

2. How to calculate the LCM of 994, 306, 344, 256, 272?

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 994, 306, 344, 256, 272.

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}.