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LCM of 849, 225, 878, 741

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


Find the LCM of 849, 225, 878, 741 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 849, 225, 878, 741. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 849,225,878,741

Given numbers are 849,225,878,741

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

The LCM of 849,225,878,741 is 13808942550.

Find LCM of 849,225,878,741 with Prime Factorization


3 849, 225, 878, 741
283, 75, 878, 247

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

3 x 283 x 75 x 878 x 247 = 13808942550

Therefore, the lowest common multiple of 849,225,878,741 is 13808942550.

LCM Formula to Find Lowest Common Multiple of 849,225,878,741

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.

849 x 225 x 878 x 741 = 124280482950

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.

849 : 1, 3, 283, 849

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

878 : 1, 2, 439, 878

741 : 1, 3, 13, 19, 39, 57, 247, 741

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,225,878,741, is 1.

Now, the common factors can be found like this.

849:3x 283

225:3x 3x 5x 5

878:2x 439

741:3x 13x 19

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 124280482950/(1x9)

LCM = 124280482950/9

LCM = 13808942550

Thus, we can understand that the LCM of 849,225,878,741 is 13808942550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 849, 225, 878, 741

1. What is the LCM of 849, 225, 878, 741?

Answer: LCM of 849, 225, 878, 741 is 13808942550.

2. How to calculate the LCM of 849, 225, 878, 741?

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 849, 225, 878, 741.

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}.