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LCM of 648, 962, 230, 312, 269

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


Find the LCM of 648, 962, 230, 312, 269 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 648, 962, 230, 312, 269. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 648,962,230,312,269

Given numbers are 648,962,230,312,269

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

The LCM of 648,962,230,312,269 is 9642068280.

Find LCM of 648,962,230,312,269 with Prime Factorization


2 648, 962, 230, 312, 269
2 324, 481, 115, 156, 269
2 162, 481, 115, 78, 269
3 81, 481, 115, 39, 269
13 27, 481, 115, 13, 269
27, 37, 115, 1, 269

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

2 x 2 x 2 x 3 x 13 x 27 x 37 x 115 x 1 x 269 = 9642068280

Therefore, the lowest common multiple of 648,962,230,312,269 is 9642068280.

LCM Formula to Find Lowest Common Multiple of 648,962,230,312,269

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.

648 x 962 x 230 x 312 x 269 = 12033301213440

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.

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

962 : 1, 2, 13, 26, 37, 74, 481, 962

230 : 1, 2, 5, 10, 23, 46, 115, 230

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,962,230,312,269, is 1.

Now, the common factors can be found like this.

648:2x 2x 2x 3x 3x 3x 3

962:2x 13x 37

230:2x 5x 23

312:2x 2x 2x 3x 13

269:269

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 2x 2x 3x 13 = 1248

Therefore, the value for common factors is 1248.

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 = 12033301213440/(1x1248)

LCM = 12033301213440/1248

LCM = 9642068280

Thus, we can understand that the LCM of 648,962,230,312,269 is 9642068280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 648, 962, 230, 312, 269

1. What is the LCM of 648, 962, 230, 312, 269?

Answer: LCM of 648, 962, 230, 312, 269 is 9642068280.

2. How to calculate the LCM of 648, 962, 230, 312, 269?

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 648, 962, 230, 312, 269.

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}.