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LCM of 233, 138, 978, 276, 508

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


Find the LCM of 233, 138, 978, 276, 508 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 233, 138, 978, 276, 508. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 233,138,978,276,508

Given numbers are 233,138,978,276,508

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

The LCM of 233,138,978,276,508 is 1331239908.

Find LCM of 233,138,978,276,508 with Prime Factorization


2 233, 138, 978, 276, 508
2 233, 69, 489, 138, 254
3 233, 69, 489, 69, 127
23 233, 23, 163, 23, 127
233, 1, 163, 1, 127

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

2 x 2 x 3 x 23 x 233 x 1 x 163 x 1 x 127 = 1331239908

Therefore, the lowest common multiple of 233,138,978,276,508 is 1331239908.

LCM Formula to Find Lowest Common Multiple of 233,138,978,276,508

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.

233 x 138 x 978 x 276 x 508 = 4409066575296

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.

233 : 1, 233

138 : 1, 2, 3, 6, 23, 46, 69, 138

978 : 1, 2, 3, 6, 163, 326, 489, 978

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

508 : 1, 2, 4, 127, 254, 508

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,138,978,276,508, is 1.

Now, the common factors can be found like this.

233:233

138:2x 3x 23

978:2x 3x 163

276:2x 2x 3x 23

508:2x 2x 127

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 3x 3x 23 = 3312

Therefore, the value for common factors is 3312.

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 = 4409066575296/(1x3312)

LCM = 4409066575296/3312

LCM = 1331239908

Thus, we can understand that the LCM of 233,138,978,276,508 is 1331239908.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 233, 138, 978, 276, 508

1. What is the LCM of 233, 138, 978, 276, 508?

Answer: LCM of 233, 138, 978, 276, 508 is 1331239908.

2. How to calculate the LCM of 233, 138, 978, 276, 508?

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 233, 138, 978, 276, 508.

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}.