LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 828, 225, 414, 652

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


Find the LCM of 828, 225, 414, 652 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 828, 225, 414, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 828,225,414,652

Given numbers are 828,225,414,652

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

The LCM of 828,225,414,652 is 3374100.

Find LCM of 828,225,414,652 with Prime Factorization


2 828, 225, 414, 652
2 414, 225, 207, 326
3 207, 225, 207, 163
3 69, 75, 69, 163
23 23, 25, 23, 163
1, 25, 1, 163

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

2 x 2 x 3 x 3 x 23 x 1 x 25 x 1 x 163 = 3374100

Therefore, the lowest common multiple of 828,225,414,652 is 3374100.

LCM Formula to Find Lowest Common Multiple of 828,225,414,652

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.

828 x 225 x 414 x 652 = 50287586400

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.

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

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,225,414,652, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

225:3x 3x 5x 5

414:2x 3x 3x 23

652:2x 2x 163

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 3x 3x 3x 3x 23 = 14904

Therefore, the value for common factors is 14904.

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 = 50287586400/(1x14904)

LCM = 50287586400/14904

LCM = 3374100

Thus, we can understand that the LCM of 828,225,414,652 is 3374100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 828, 225, 414, 652

1. What is the LCM of 828, 225, 414, 652?

Answer: LCM of 828, 225, 414, 652 is 3374100.

2. How to calculate the LCM of 828, 225, 414, 652?

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 828, 225, 414, 652.

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}.