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LCM of 878, 355, 355, 117

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


Find the LCM of 878, 355, 355, 117 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, 355, 355, 117. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 878,355,355,117

Given numbers are 878,355,355,117

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

The LCM of 878,355,355,117 is 36467730.

Find LCM of 878,355,355,117 with Prime Factorization


5 878, 355, 355, 117
71 878, 71, 71, 117
878, 1, 1, 117

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

5 x 71 x 878 x 1 x 1 x 117 = 36467730

Therefore, the lowest common multiple of 878,355,355,117 is 36467730.

LCM Formula to Find Lowest Common Multiple of 878,355,355,117

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 355 x 355 x 117 = 12946044150

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

355 : 1, 5, 71, 355

355 : 1, 5, 71, 355

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,355,355,117, is 1.

Now, the common factors can be found like this.

878:2x 439

355:5x 71

355:5x 71

117:3x 3x 13

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

5x 71 = 355

Therefore, the value for common factors is 355.

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 = 12946044150/(1x355)

LCM = 12946044150/355

LCM = 36467730

Thus, we can understand that the LCM of 878,355,355,117 is 36467730.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 878, 355, 355, 117

1. What is the LCM of 878, 355, 355, 117?

Answer: LCM of 878, 355, 355, 117 is 36467730.

2. How to calculate the LCM of 878, 355, 355, 117?

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, 355, 355, 117.

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}.