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LCM of 167, 247, 923, 272, 748

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


Find the LCM of 167, 247, 923, 272, 748 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 167, 247, 923, 272, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 167,247,923,272,748

Given numbers are 167,247,923,272,748

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

The LCM of 167,247,923,272,748 is 8762607568.

Find LCM of 167,247,923,272,748 with Prime Factorization


2 167, 247, 923, 272, 748
2 167, 247, 923, 136, 374
13 167, 247, 923, 68, 187
17 167, 19, 71, 68, 187
167, 19, 71, 4, 11

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

2 x 2 x 13 x 17 x 167 x 19 x 71 x 4 x 11 = 8762607568

Therefore, the lowest common multiple of 167,247,923,272,748 is 8762607568.

LCM Formula to Find Lowest Common Multiple of 167,247,923,272,748

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.

167 x 247 x 923 x 272 x 748 = 7746145090112

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.

167 : 1, 167

247 : 1, 13, 19, 247

923 : 1, 13, 71, 923

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,247,923,272,748, is 1.

Now, the common factors can be found like this.

167:167

247:13x 19

923:13x 71

272:2x 2x 2x 2x 17

748:2x 2x 11x 17

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 13x 17 = 884

Therefore, the value for common factors is 884.

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 = 7746145090112/(1x884)

LCM = 7746145090112/884

LCM = 8762607568

Thus, we can understand that the LCM of 167,247,923,272,748 is 8762607568.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 167, 247, 923, 272, 748

1. What is the LCM of 167, 247, 923, 272, 748?

Answer: LCM of 167, 247, 923, 272, 748 is 8762607568.

2. How to calculate the LCM of 167, 247, 923, 272, 748?

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 167, 247, 923, 272, 748.

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}.