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LCM of 873, 140, 878, 177, 177

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


Find the LCM of 873, 140, 878, 177, 177 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 873, 140, 878, 177, 177. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 873,140,878,177,177

Given numbers are 873,140,878,177,177

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

The LCM of 873,140,878,177,177 is 3165620220.

Find LCM of 873,140,878,177,177 with Prime Factorization


2 873, 140, 878, 177, 177
3 873, 70, 439, 177, 177
59 291, 70, 439, 59, 59
291, 70, 439, 1, 1

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

2 x 3 x 59 x 291 x 70 x 439 x 1 x 1 = 3165620220

Therefore, the lowest common multiple of 873,140,878,177,177 is 3165620220.

LCM Formula to Find Lowest Common Multiple of 873,140,878,177,177

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.

873 x 140 x 878 x 177 x 177 = 3361888673640

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.

873 : 1, 3, 9, 97, 291, 873

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

878 : 1, 2, 439, 878

177 : 1, 3, 59, 177

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,140,878,177,177, is 1.

Now, the common factors can be found like this.

873:3x 3x 97

140:2x 2x 5x 7

878:2x 439

177:3x 59

177:3x 59

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

2x 3x 3x 59 = 1062

Therefore, the value for common factors is 1062.

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 = 3361888673640/(1x1062)

LCM = 3361888673640/1062

LCM = 3165620220

Thus, we can understand that the LCM of 873,140,878,177,177 is 3165620220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 873, 140, 878, 177, 177

1. What is the LCM of 873, 140, 878, 177, 177?

Answer: LCM of 873, 140, 878, 177, 177 is 3165620220.

2. How to calculate the LCM of 873, 140, 878, 177, 177?

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 873, 140, 878, 177, 177.

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}.