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LCM of 878, 698, 258, 913, 684

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


Find the LCM of 878, 698, 258, 913, 684 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, 698, 258, 913, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 878,698,258,913,684

Given numbers are 878,698,258,913,684

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

The LCM of 878,698,258,913,684 is 4114198883916.

Find LCM of 878,698,258,913,684 with Prime Factorization


2 878, 698, 258, 913, 684
3 439, 349, 129, 913, 342
439, 349, 43, 913, 114

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

2 x 3 x 439 x 349 x 43 x 913 x 114 = 4114198883916

Therefore, the lowest common multiple of 878,698,258,913,684 is 4114198883916.

LCM Formula to Find Lowest Common Multiple of 878,698,258,913,684

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 698 x 258 x 913 x 684 = 98740773213984

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

698 : 1, 2, 349, 698

258 : 1, 2, 3, 6, 43, 86, 129, 258

913 : 1, 11, 83, 913

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,698,258,913,684, is 1.

Now, the common factors can be found like this.

878:2x 439

698:2x 349

258:2x 3x 43

913:11x 83

684:2x 2x 3x 3x 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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 98740773213984/(1x24)

LCM = 98740773213984/24

LCM = 4114198883916

Thus, we can understand that the LCM of 878,698,258,913,684 is 4114198883916.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 878, 698, 258, 913, 684

1. What is the LCM of 878, 698, 258, 913, 684?

Answer: LCM of 878, 698, 258, 913, 684 is 4114198883916.

2. How to calculate the LCM of 878, 698, 258, 913, 684?

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, 698, 258, 913, 684.

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}.