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LCM of 371, 981, 676, 611, 247

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


Find the LCM of 371, 981, 676, 611, 247 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 371, 981, 676, 611, 247. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 371,981,676,611,247

Given numbers are 371,981,676,611,247

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

The LCM of 371,981,676,611,247 is 219705572268.

Find LCM of 371,981,676,611,247 with Prime Factorization


13 371, 981, 676, 611, 247
371, 981, 52, 47, 19

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

13 x 371 x 981 x 52 x 47 x 19 = 219705572268

Therefore, the lowest common multiple of 371,981,676,611,247 is 219705572268.

LCM Formula to Find Lowest Common Multiple of 371,981,676,611,247

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.

371 x 981 x 676 x 611 x 247 = 37130241713292

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.

371 : 1, 7, 53, 371

981 : 1, 3, 9, 109, 327, 981

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

611 : 1, 13, 47, 611

247 : 1, 13, 19, 247

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 371,981,676,611,247, is 1.

Now, the common factors can be found like this.

371:7x 53

981:3x 3x 109

676:2x 2x 13x 13

611:13x 47

247:13x 19

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 37130241713292/(1x169)

LCM = 37130241713292/169

LCM = 219705572268

Thus, we can understand that the LCM of 371,981,676,611,247 is 219705572268.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 371, 981, 676, 611, 247

1. What is the LCM of 371, 981, 676, 611, 247?

Answer: LCM of 371, 981, 676, 611, 247 is 219705572268.

2. How to calculate the LCM of 371, 981, 676, 611, 247?

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 371, 981, 676, 611, 247.

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}.