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LCM of 614, 119, 204, 604

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


Find the LCM of 614, 119, 204, 604 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 614, 119, 204, 604. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 614,119,204,604

Given numbers are 614,119,204,604

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

The LCM of 614,119,204,604 is 66197796.

Find LCM of 614,119,204,604 with Prime Factorization


2 614, 119, 204, 604
2 307, 119, 102, 302
17 307, 119, 51, 151
307, 7, 3, 151

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

2 x 2 x 17 x 307 x 7 x 3 x 151 = 66197796

Therefore, the lowest common multiple of 614,119,204,604 is 66197796.

LCM Formula to Find Lowest Common Multiple of 614,119,204,604

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.

614 x 119 x 204 x 604 = 9002900256

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.

614 : 1, 2, 307, 614

119 : 1, 7, 17, 119

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

604 : 1, 2, 4, 151, 302, 604

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,119,204,604, is 1.

Now, the common factors can be found like this.

614:2x 307

119:7x 17

204:2x 2x 3x 17

604:2x 2x 151

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

2x 2x 2x 17 = 136

Therefore, the value for common factors is 136.

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 = 9002900256/(1x136)

LCM = 9002900256/136

LCM = 66197796

Thus, we can understand that the LCM of 614,119,204,604 is 66197796.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 614, 119, 204, 604

1. What is the LCM of 614, 119, 204, 604?

Answer: LCM of 614, 119, 204, 604 is 66197796.

2. How to calculate the LCM of 614, 119, 204, 604?

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 614, 119, 204, 604.

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}.