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LCM of 246, 269, 528, 645

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


Find the LCM of 246, 269, 528, 645 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 246, 269, 528, 645. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 246,269,528,645

Given numbers are 246,269,528,645

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

The LCM of 246,269,528,645 is 1252012080.

Find LCM of 246,269,528,645 with Prime Factorization


2 246, 269, 528, 645
3 123, 269, 264, 645
41, 269, 88, 215

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

2 x 3 x 41 x 269 x 88 x 215 = 1252012080

Therefore, the lowest common multiple of 246,269,528,645 is 1252012080.

LCM Formula to Find Lowest Common Multiple of 246,269,528,645

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.

246 x 269 x 528 x 645 = 22536217440

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.

246 : 1, 2, 3, 6, 41, 82, 123, 246

269 : 1, 269

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

645 : 1, 3, 5, 15, 43, 129, 215, 645

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 246,269,528,645, is 1.

Now, the common factors can be found like this.

246:2x 3x 41

269:269

528:2x 2x 2x 2x 3x 11

645:3x 5x 43

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 3 = 18

Therefore, the value for common factors is 18.

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 = 22536217440/(1x18)

LCM = 22536217440/18

LCM = 1252012080

Thus, we can understand that the LCM of 246,269,528,645 is 1252012080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 246, 269, 528, 645

1. What is the LCM of 246, 269, 528, 645?

Answer: LCM of 246, 269, 528, 645 is 1252012080.

2. How to calculate the LCM of 246, 269, 528, 645?

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 246, 269, 528, 645.

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}.