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LCM of 905, 713, 828

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


Find the LCM of 905, 713, 828 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 905, 713, 828. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 905,713,828

Given numbers are 905,713,828

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

The LCM of 905,713,828 is 23229540.

Find LCM of 905,713,828 with Prime Factorization


23 905, 713, 828
905, 31, 36

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

23 x 905 x 31 x 36 = 23229540

Therefore, the lowest common multiple of 905,713,828 is 23229540.

LCM Formula to Find Lowest Common Multiple of 905,713,828

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.

905 x 713 x 828 = 534279420

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.

905 : 1, 5, 181, 905

713 : 1, 23, 31, 713

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,713,828, is 1.

Now, the common factors can be found like this.

905:5x 181

713:23x 31

828:2x 2x 3x 3x 23

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

23 = 23

Therefore, the value for common factors is 23.

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 = 534279420/(1x23)

LCM = 534279420/23

LCM = 23229540

Thus, we can understand that the LCM of 905,713,828 is 23229540.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 905, 713, 828

1. What is the LCM of 905, 713, 828?

Answer: LCM of 905, 713, 828 is 23229540.

2. How to calculate the LCM of 905, 713, 828?

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 905, 713, 828.

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}.