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LCM of 306, 268, 470, 871

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


Find the LCM of 306, 268, 470, 871 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 306, 268, 470, 871. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 306,268,470,871

Given numbers are 306,268,470,871

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

The LCM of 306,268,470,871 is 125267220.

Find LCM of 306,268,470,871 with Prime Factorization


2 306, 268, 470, 871
67 153, 134, 235, 871
153, 2, 235, 13

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

2 x 67 x 153 x 2 x 235 x 13 = 125267220

Therefore, the lowest common multiple of 306,268,470,871 is 125267220.

LCM Formula to Find Lowest Common Multiple of 306,268,470,871

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.

306 x 268 x 470 x 871 = 33571614960

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.

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

268 : 1, 2, 4, 67, 134, 268

470 : 1, 2, 5, 10, 47, 94, 235, 470

871 : 1, 13, 67, 871

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,268,470,871, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

268:2x 2x 67

470:2x 5x 47

871:13x 67

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 67 = 268

Therefore, the value for common factors is 268.

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 = 33571614960/(1x268)

LCM = 33571614960/268

LCM = 125267220

Thus, we can understand that the LCM of 306,268,470,871 is 125267220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 306, 268, 470, 871

1. What is the LCM of 306, 268, 470, 871?

Answer: LCM of 306, 268, 470, 871 is 125267220.

2. How to calculate the LCM of 306, 268, 470, 871?

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 306, 268, 470, 871.

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}.