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LCM of 727, 584, 932, 286, 593

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


Find the LCM of 727, 584, 932, 286, 593 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 727, 584, 932, 286, 593. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 727,584,932,286,593

Given numbers are 727,584,932,286,593

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

The LCM of 727,584,932,286,593 is 8388685446856.

Find LCM of 727,584,932,286,593 with Prime Factorization


2 727, 584, 932, 286, 593
2 727, 292, 466, 143, 593
727, 146, 233, 143, 593

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

2 x 2 x 727 x 146 x 233 x 143 x 593 = 8388685446856

Therefore, the lowest common multiple of 727,584,932,286,593 is 8388685446856.

LCM Formula to Find Lowest Common Multiple of 727,584,932,286,593

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.

727 x 584 x 932 x 286 x 593 = 67109483574848

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.

727 : 1, 727

584 : 1, 2, 4, 8, 73, 146, 292, 584

932 : 1, 2, 4, 233, 466, 932

286 : 1, 2, 11, 13, 22, 26, 143, 286

593 : 1, 593

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,584,932,286,593, is 1.

Now, the common factors can be found like this.

727:727

584:2x 2x 2x 73

932:2x 2x 233

286:2x 11x 13

593:593

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 2 = 8

Therefore, the value for common factors is 8.

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 = 67109483574848/(1x8)

LCM = 67109483574848/8

LCM = 8388685446856

Thus, we can understand that the LCM of 727,584,932,286,593 is 8388685446856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 727, 584, 932, 286, 593

1. What is the LCM of 727, 584, 932, 286, 593?

Answer: LCM of 727, 584, 932, 286, 593 is 8388685446856.

2. How to calculate the LCM of 727, 584, 932, 286, 593?

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 727, 584, 932, 286, 593.

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}.