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LCM of 727, 696, 973, 276, 671

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


Find the LCM of 727, 696, 973, 276, 671 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, 696, 973, 276, 671. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 727,696,973,276,671

Given numbers are 727,696,973,276,671

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

The LCM of 727,696,973,276,671 is 7598132223528.

Find LCM of 727,696,973,276,671 with Prime Factorization


2 727, 696, 973, 276, 671
2 727, 348, 973, 138, 671
3 727, 174, 973, 69, 671
727, 58, 973, 23, 671

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

2 x 2 x 3 x 727 x 58 x 973 x 23 x 671 = 7598132223528

Therefore, the lowest common multiple of 727,696,973,276,671 is 7598132223528.

LCM Formula to Find Lowest Common Multiple of 727,696,973,276,671

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 696 x 973 x 276 x 671 = 91177586682336

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

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

973 : 1, 7, 139, 973

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

671 : 1, 11, 61, 671

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,696,973,276,671, is 1.

Now, the common factors can be found like this.

727:727

696:2x 2x 2x 3x 29

973:7x 139

276:2x 2x 3x 23

671:11x 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 3 = 12

Therefore, the value for common factors is 12.

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 = 91177586682336/(1x12)

LCM = 91177586682336/12

LCM = 7598132223528

Thus, we can understand that the LCM of 727,696,973,276,671 is 7598132223528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 727, 696, 973, 276, 671

1. What is the LCM of 727, 696, 973, 276, 671?

Answer: LCM of 727, 696, 973, 276, 671 is 7598132223528.

2. How to calculate the LCM of 727, 696, 973, 276, 671?

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, 696, 973, 276, 671.

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}.