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LCM of 209, 646, 751, 614

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


Find the LCM of 209, 646, 751, 614 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 209, 646, 751, 614. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,646,751,614

Given numbers are 209,646,751,614

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

The LCM of 209,646,751,614 is 1638338042.

Find LCM of 209,646,751,614 with Prime Factorization


2 209, 646, 751, 614
19 209, 323, 751, 307
11, 17, 751, 307

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

2 x 19 x 11 x 17 x 751 x 307 = 1638338042

Therefore, the lowest common multiple of 209,646,751,614 is 1638338042.

LCM Formula to Find Lowest Common Multiple of 209,646,751,614

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.

209 x 646 x 751 x 614 = 62256845596

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.

209 : 1, 11, 19, 209

646 : 1, 2, 17, 19, 34, 38, 323, 646

751 : 1, 751

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,646,751,614, is 1.

Now, the common factors can be found like this.

209:11x 19

646:2x 17x 19

751:751

614:2x 307

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 62256845596/(1x38)

LCM = 62256845596/38

LCM = 1638338042

Thus, we can understand that the LCM of 209,646,751,614 is 1638338042.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 646, 751, 614

1. What is the LCM of 209, 646, 751, 614?

Answer: LCM of 209, 646, 751, 614 is 1638338042.

2. How to calculate the LCM of 209, 646, 751, 614?

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 209, 646, 751, 614.

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}.