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LCM of 247, 708, 475, 627, 233

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


Find the LCM of 247, 708, 475, 627, 233 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 247, 708, 475, 627, 233. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 247,708,475,627,233

Given numbers are 247,708,475,627,233

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

The LCM of 247,708,475,627,233 is 11205179700.

Find LCM of 247,708,475,627,233 with Prime Factorization


3 247, 708, 475, 627, 233
19 247, 236, 475, 209, 233
13, 236, 25, 11, 233

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

3 x 19 x 13 x 236 x 25 x 11 x 233 = 11205179700

Therefore, the lowest common multiple of 247,708,475,627,233 is 11205179700.

LCM Formula to Find Lowest Common Multiple of 247,708,475,627,233

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.

247 x 708 x 475 x 627 x 233 = 12135209615100

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.

247 : 1, 13, 19, 247

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

475 : 1, 5, 19, 25, 95, 475

627 : 1, 3, 11, 19, 33, 57, 209, 627

233 : 1, 233

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,708,475,627,233, is 1.

Now, the common factors can be found like this.

247:13x 19

708:2x 2x 3x 59

475:5x 5x 19

627:3x 11x 19

233:233

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

3x 19x 19 = 1083

Therefore, the value for common factors is 1083.

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 = 12135209615100/(1x1083)

LCM = 12135209615100/1083

LCM = 11205179700

Thus, we can understand that the LCM of 247,708,475,627,233 is 11205179700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 247, 708, 475, 627, 233

1. What is the LCM of 247, 708, 475, 627, 233?

Answer: LCM of 247, 708, 475, 627, 233 is 11205179700.

2. How to calculate the LCM of 247, 708, 475, 627, 233?

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 247, 708, 475, 627, 233.

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}.