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LCM of 878, 285, 304, 266

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


Find the LCM of 878, 285, 304, 266 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 878, 285, 304, 266. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 878,285,304,266

Given numbers are 878,285,304,266

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

The LCM of 878,285,304,266 is 14012880.

Find LCM of 878,285,304,266 with Prime Factorization


2 878, 285, 304, 266
19 439, 285, 152, 133
439, 15, 8, 7

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

2 x 19 x 439 x 15 x 8 x 7 = 14012880

Therefore, the lowest common multiple of 878,285,304,266 is 14012880.

LCM Formula to Find Lowest Common Multiple of 878,285,304,266

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.

878 x 285 x 304 x 266 = 20234598720

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.

878 : 1, 2, 439, 878

285 : 1, 3, 5, 15, 19, 57, 95, 285

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

266 : 1, 2, 7, 14, 19, 38, 133, 266

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,285,304,266, is 1.

Now, the common factors can be found like this.

878:2x 439

285:3x 5x 19

304:2x 2x 2x 2x 19

266:2x 7x 19

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 19x 19 = 1444

Therefore, the value for common factors is 1444.

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 = 20234598720/(1x1444)

LCM = 20234598720/1444

LCM = 14012880

Thus, we can understand that the LCM of 878,285,304,266 is 14012880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 878, 285, 304, 266

1. What is the LCM of 878, 285, 304, 266?

Answer: LCM of 878, 285, 304, 266 is 14012880.

2. How to calculate the LCM of 878, 285, 304, 266?

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 878, 285, 304, 266.

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}.