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LCM of 466, 248, 255, 527, 617

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


Find the LCM of 466, 248, 255, 527, 617 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 466, 248, 255, 527, 617. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 466,248,255,527,617

Given numbers are 466,248,255,527,617

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

The LCM of 466,248,255,527,617 is 9091445640.

Find LCM of 466,248,255,527,617 with Prime Factorization


2 466, 248, 255, 527, 617
17 233, 124, 255, 527, 617
31 233, 124, 15, 31, 617
233, 4, 15, 1, 617

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

2 x 17 x 31 x 233 x 4 x 15 x 1 x 617 = 9091445640

Therefore, the lowest common multiple of 466,248,255,527,617 is 9091445640.

LCM Formula to Find Lowest Common Multiple of 466,248,255,527,617

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.

466 x 248 x 255 x 527 x 617 = 9582383704560

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.

466 : 1, 2, 233, 466

248 : 1, 2, 4, 8, 31, 62, 124, 248

255 : 1, 3, 5, 15, 17, 51, 85, 255

527 : 1, 17, 31, 527

617 : 1, 617

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,248,255,527,617, is 1.

Now, the common factors can be found like this.

466:2x 233

248:2x 2x 2x 31

255:3x 5x 17

527:17x 31

617:617

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

2x 17x 31 = 1054

Therefore, the value for common factors is 1054.

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 = 9582383704560/(1x1054)

LCM = 9582383704560/1054

LCM = 9091445640

Thus, we can understand that the LCM of 466,248,255,527,617 is 9091445640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 466, 248, 255, 527, 617

1. What is the LCM of 466, 248, 255, 527, 617?

Answer: LCM of 466, 248, 255, 527, 617 is 9091445640.

2. How to calculate the LCM of 466, 248, 255, 527, 617?

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 466, 248, 255, 527, 617.

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}.