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LCM of 878, 360, 858, 884

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


Find the LCM of 878, 360, 858, 884 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, 360, 858, 884. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 878,360,858,884

Given numbers are 878,360,858,884

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

The LCM of 878,360,858,884 is 384195240.

Find LCM of 878,360,858,884 with Prime Factorization


2 878, 360, 858, 884
2 439, 180, 429, 442
3 439, 90, 429, 221
13 439, 30, 143, 221
439, 30, 11, 17

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

2 x 2 x 3 x 13 x 439 x 30 x 11 x 17 = 384195240

Therefore, the lowest common multiple of 878,360,858,884 is 384195240.

LCM Formula to Find Lowest Common Multiple of 878,360,858,884

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 360 x 858 x 884 = 239737829760

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

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,360,858,884, is 2.

Now, the common factors can be found like this.

878:2x 439

360:2x 2x 2x 3x 3x 5

858:2x 3x 11x 13

884:2x 2x 13x 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 2x 2x 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 239737829760/(2x312)

LCM = 239737829760/624

LCM = 384195240

Thus, we can understand that the LCM of 878,360,858,884 is 384195240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 878, 360, 858, 884

1. What is the LCM of 878, 360, 858, 884?

Answer: LCM of 878, 360, 858, 884 is 384195240.

2. How to calculate the LCM of 878, 360, 858, 884?

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, 360, 858, 884.

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}.