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LCM of 243, 671, 250, 232, 976

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


Find the LCM of 243, 671, 250, 232, 976 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 243, 671, 250, 232, 976. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 243,671,250,232,976

Given numbers are 243,671,250,232,976

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

The LCM of 243,671,250,232,976 is 9457074000.

Find LCM of 243,671,250,232,976 with Prime Factorization


2 243, 671, 250, 232, 976
2 243, 671, 125, 116, 488
2 243, 671, 125, 58, 244
61 243, 671, 125, 29, 122
243, 11, 125, 29, 2

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

2 x 2 x 2 x 61 x 243 x 11 x 125 x 29 x 2 = 9457074000

Therefore, the lowest common multiple of 243,671,250,232,976 is 9457074000.

LCM Formula to Find Lowest Common Multiple of 243,671,250,232,976

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.

243 x 671 x 250 x 232 x 976 = 9230104224000

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.

243 : 1, 3, 9, 27, 81, 243

671 : 1, 11, 61, 671

250 : 1, 2, 5, 10, 25, 50, 125, 250

232 : 1, 2, 4, 8, 29, 58, 116, 232

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,671,250,232,976, is 1.

Now, the common factors can be found like this.

243:3x 3x 3x 3x 3

671:11x 61

250:2x 5x 5x 5

232:2x 2x 2x 29

976:2x 2x 2x 2x 61

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 61 = 976

Therefore, the value for common factors is 976.

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 = 9230104224000/(1x976)

LCM = 9230104224000/976

LCM = 9457074000

Thus, we can understand that the LCM of 243,671,250,232,976 is 9457074000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 243, 671, 250, 232, 976

1. What is the LCM of 243, 671, 250, 232, 976?

Answer: LCM of 243, 671, 250, 232, 976 is 9457074000.

2. How to calculate the LCM of 243, 671, 250, 232, 976?

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 243, 671, 250, 232, 976.

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}.