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LCM of 994, 272, 590, 995, 420

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


Find the LCM of 994, 272, 590, 995, 420 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, 272, 590, 995, 420. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 994,272,590,995,420

Given numbers are 994,272,590,995,420

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

The LCM of 994,272,590,995,420 is 23807930160.

Find LCM of 994,272,590,995,420 with Prime Factorization


2 994, 272, 590, 995, 420
2 497, 136, 295, 995, 210
5 497, 68, 295, 995, 105
7 497, 68, 59, 199, 21
71, 68, 59, 199, 3

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

2 x 2 x 5 x 7 x 71 x 68 x 59 x 199 x 3 = 23807930160

Therefore, the lowest common multiple of 994,272,590,995,420 is 23807930160.

LCM Formula to Find Lowest Common Multiple of 994,272,590,995,420

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 272 x 590 x 995 x 420 = 66662204448000

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

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

590 : 1, 2, 5, 10, 59, 118, 295, 590

995 : 1, 5, 199, 995

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,272,590,995,420, is 1.

Now, the common factors can be found like this.

994:2x 7x 71

272:2x 2x 2x 2x 17

590:2x 5x 59

995:5x 199

420:2x 2x 3x 5x 7

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 5x 5x 7 = 2800

Therefore, the value for common factors is 2800.

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 = 66662204448000/(1x2800)

LCM = 66662204448000/2800

LCM = 23807930160

Thus, we can understand that the LCM of 994,272,590,995,420 is 23807930160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 994, 272, 590, 995, 420

1. What is the LCM of 994, 272, 590, 995, 420?

Answer: LCM of 994, 272, 590, 995, 420 is 23807930160.

2. How to calculate the LCM of 994, 272, 590, 995, 420?

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, 272, 590, 995, 420.

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}.