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LCM of 607, 343, 204, 306

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


Find the LCM of 607, 343, 204, 306 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 607, 343, 204, 306. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 607,343,204,306

Given numbers are 607,343,204,306

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

The LCM of 607,343,204,306 is 127419012.

Find LCM of 607,343,204,306 with Prime Factorization


2 607, 343, 204, 306
3 607, 343, 102, 153
17 607, 343, 34, 51
607, 343, 2, 3

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

2 x 3 x 17 x 607 x 343 x 2 x 3 = 127419012

Therefore, the lowest common multiple of 607,343,204,306 is 127419012.

LCM Formula to Find Lowest Common Multiple of 607,343,204,306

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.

607 x 343 x 204 x 306 = 12996739224

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.

607 : 1, 607

343 : 1, 7, 49, 343

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,343,204,306, is 1.

Now, the common factors can be found like this.

607:607

343:7x 7x 7

204:2x 2x 3x 17

306:2x 3x 3x 17

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 17 = 102

Therefore, the value for common factors is 102.

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 = 12996739224/(1x102)

LCM = 12996739224/102

LCM = 127419012

Thus, we can understand that the LCM of 607,343,204,306 is 127419012.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 607, 343, 204, 306

1. What is the LCM of 607, 343, 204, 306?

Answer: LCM of 607, 343, 204, 306 is 127419012.

2. How to calculate the LCM of 607, 343, 204, 306?

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 607, 343, 204, 306.

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}.