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LCM of 271, 907, 990, 273, 726

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


Find the LCM of 271, 907, 990, 273, 726 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 271, 907, 990, 273, 726. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 271,907,990,273,726

Given numbers are 271,907,990,273,726

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

The LCM of 271,907,990,273,726 is 243582369030.

Find LCM of 271,907,990,273,726 with Prime Factorization


2 271, 907, 990, 273, 726
3 271, 907, 495, 273, 363
11 271, 907, 165, 91, 121
271, 907, 15, 91, 11

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

2 x 3 x 11 x 271 x 907 x 15 x 91 x 11 = 243582369030

Therefore, the lowest common multiple of 271,907,990,273,726 is 243582369030.

LCM Formula to Find Lowest Common Multiple of 271,907,990,273,726

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.

271 x 907 x 990 x 273 x 726 = 48229309067940

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.

271 : 1, 271

907 : 1, 907

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,907,990,273,726, is 1.

Now, the common factors can be found like this.

271:271

907:907

990:2x 3x 3x 5x 11

273:3x 7x 13

726:2x 3x 11x 11

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

2x 3x 3x 11 = 198

Therefore, the value for common factors is 198.

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 = 48229309067940/(1x198)

LCM = 48229309067940/198

LCM = 243582369030

Thus, we can understand that the LCM of 271,907,990,273,726 is 243582369030.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 271, 907, 990, 273, 726

1. What is the LCM of 271, 907, 990, 273, 726?

Answer: LCM of 271, 907, 990, 273, 726 is 243582369030.

2. How to calculate the LCM of 271, 907, 990, 273, 726?

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 271, 907, 990, 273, 726.

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}.