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LCM of 827, 925, 333, 883, 689

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


Find the LCM of 827, 925, 333, 883, 689 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 827, 925, 333, 883, 689. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 827,925,333,883,689

Given numbers are 827,925,333,883,689

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

The LCM of 827,925,333,883,689 is 4188607607925.

Find LCM of 827,925,333,883,689 with Prime Factorization


37 827, 925, 333, 883, 689
827, 25, 9, 883, 689

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

37 x 827 x 25 x 9 x 883 x 689 = 4188607607925

Therefore, the lowest common multiple of 827,925,333,883,689 is 4188607607925.

LCM Formula to Find Lowest Common Multiple of 827,925,333,883,689

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.

827 x 925 x 333 x 883 x 689 = 154978481493225

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.

827 : 1, 827

925 : 1, 5, 25, 37, 185, 925

333 : 1, 3, 9, 37, 111, 333

883 : 1, 883

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,925,333,883,689, is 1.

Now, the common factors can be found like this.

827:827

925:5x 5x 37

333:3x 3x 37

883:883

689:13x 53

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

37 = 37

Therefore, the value for common factors is 37.

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 = 154978481493225/(1x37)

LCM = 154978481493225/37

LCM = 4188607607925

Thus, we can understand that the LCM of 827,925,333,883,689 is 4188607607925.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 827, 925, 333, 883, 689

1. What is the LCM of 827, 925, 333, 883, 689?

Answer: LCM of 827, 925, 333, 883, 689 is 4188607607925.

2. How to calculate the LCM of 827, 925, 333, 883, 689?

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 827, 925, 333, 883, 689.

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}.