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LCM of 4923, 2205

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


Find the LCM of 4923, 2205 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 4923, 2205. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4923,2205

Given numbers are 4923,2205

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

The LCM of 4923,2205 is 1206135.

Find LCM of 4923,2205 with Prime Factorization


3 4923, 2205
3 1641, 735
547, 245

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

3 x 3 x 547 x 245 = 1206135

Therefore, the lowest common multiple of 4923,2205 is 1206135.

LCM Formula to Find Lowest Common Multiple of 4923,2205

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.

4923 x 2205 = 10855215

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.

4923 : 1, 3, 9, 547, 1641, 4923

2205 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205

9 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4923,2205, is 9.

Now, the common factors can be found like this.

4923:3x 3x 547

2205:3x 3x 5x 7x 7

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

= 1

Therefore, the value for common factors is 1.

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 = 10855215/(9x1)

LCM = 10855215/9

LCM = 1206135

Thus, we can understand that the LCM of 4923,2205 is 1206135.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 4923, 2205

1. What is the LCM of 4923, 2205?

Answer: LCM of 4923, 2205 is 1206135.

2. How to calculate the LCM of 4923, 2205?

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 4923, 2205.

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}.