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LCM of 494, 420, 297, 460

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


Find the LCM of 494, 420, 297, 460 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 494, 420, 297, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 494,420,297,460

Given numbers are 494,420,297,460

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

The LCM of 494,420,297,460 is 236215980.

Find LCM of 494,420,297,460 with Prime Factorization


2 494, 420, 297, 460
2 247, 210, 297, 230
3 247, 105, 297, 115
5 247, 35, 99, 115
247, 7, 99, 23

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

2 x 2 x 3 x 5 x 247 x 7 x 99 x 23 = 236215980

Therefore, the lowest common multiple of 494,420,297,460 is 236215980.

LCM Formula to Find Lowest Common Multiple of 494,420,297,460

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.

494 x 420 x 297 x 460 = 28345917600

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

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

297 : 1, 3, 9, 11, 27, 33, 99, 297

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,420,297,460, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

420:2x 2x 3x 5x 7

297:3x 3x 3x 11

460:2x 2x 5x 23

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 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 28345917600/(1x120)

LCM = 28345917600/120

LCM = 236215980

Thus, we can understand that the LCM of 494,420,297,460 is 236215980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 494, 420, 297, 460

1. What is the LCM of 494, 420, 297, 460?

Answer: LCM of 494, 420, 297, 460 is 236215980.

2. How to calculate the LCM of 494, 420, 297, 460?

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 494, 420, 297, 460.

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}.