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LCM of 112, 377, 379, 611, 209

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


Find the LCM of 112, 377, 379, 611, 209 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 112, 377, 379, 611, 209. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 112,377,379,611,209

Given numbers are 112,377,379,611,209

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

The LCM of 112,377,379,611,209 is 157196447408.

Find LCM of 112,377,379,611,209 with Prime Factorization


13 112, 377, 379, 611, 209
112, 29, 379, 47, 209

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

13 x 112 x 29 x 379 x 47 x 209 = 157196447408

Therefore, the lowest common multiple of 112,377,379,611,209 is 157196447408.

LCM Formula to Find Lowest Common Multiple of 112,377,379,611,209

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.

112 x 377 x 379 x 611 x 209 = 2043553816304

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.

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

377 : 1, 13, 29, 377

379 : 1, 379

611 : 1, 13, 47, 611

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,377,379,611,209, is 1.

Now, the common factors can be found like this.

112:2x 2x 2x 2x 7

377:13x 29

379:379

611:13x 47

209:11x 19

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 = 2043553816304/(1x13)

LCM = 2043553816304/13

LCM = 157196447408

Thus, we can understand that the LCM of 112,377,379,611,209 is 157196447408.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 112, 377, 379, 611, 209

1. What is the LCM of 112, 377, 379, 611, 209?

Answer: LCM of 112, 377, 379, 611, 209 is 157196447408.

2. How to calculate the LCM of 112, 377, 379, 611, 209?

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 112, 377, 379, 611, 209.

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}.