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LCM of 449, 611, 637, 684, 271

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


Find the LCM of 449, 611, 637, 684, 271 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 449, 611, 637, 684, 271. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 449,611,637,684,271

Given numbers are 449,611,637,684,271

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

The LCM of 449,611,637,684,271 is 2491776145404.

Find LCM of 449,611,637,684,271 with Prime Factorization


13 449, 611, 637, 684, 271
449, 47, 49, 684, 271

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

13 x 449 x 47 x 49 x 684 x 271 = 2491776145404

Therefore, the lowest common multiple of 449,611,637,684,271 is 2491776145404.

LCM Formula to Find Lowest Common Multiple of 449,611,637,684,271

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.

449 x 611 x 637 x 684 x 271 = 32393089890252

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.

449 : 1, 449

611 : 1, 13, 47, 611

637 : 1, 7, 13, 49, 91, 637

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,611,637,684,271, is 1.

Now, the common factors can be found like this.

449:449

611:13x 47

637:7x 7x 13

684:2x 2x 3x 3x 19

271:271

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13 = 13

Therefore, the value for common factors is 13.

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 = 32393089890252/(1x13)

LCM = 32393089890252/13

LCM = 2491776145404

Thus, we can understand that the LCM of 449,611,637,684,271 is 2491776145404.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 449, 611, 637, 684, 271

1. What is the LCM of 449, 611, 637, 684, 271?

Answer: LCM of 449, 611, 637, 684, 271 is 2491776145404.

2. How to calculate the LCM of 449, 611, 637, 684, 271?

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 449, 611, 637, 684, 271.

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}.