Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/176, 77/231, 554/726 quickly i.e. 139608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/176, 77/231, 554/726 is 139608.
LCM(72/176, 77/231, 554/726) = 139608
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/176,77/231,554/726
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 72,77,554
Least Common Multiple of Numerators i.e. LCM of 72,77,554 is 1535688.
GCF of Denominators means GCF of 176,231,726 as per the given fractions.
GCF of 176,231,726 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,77,554
2 | 72, 77, 554 |
36, 77, 277 |
∴ So the LCM of the given numbers is 2 x 36 x 77 x 277 = 1535688
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 72,77,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,77,554) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(72,77,554) x common factors =1 x 2 = 2
LCM(72,77,554) = ( 72 × 77 × 554 ) / 2
LCM(72,77,554) = 3071376 / 2
LCM(72,77,554) = 1535688
Lets's calculate GCF of 176,231,726
11 | 176, 231, 726 |
16, 21, 66 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1535688/11
Therefore the LCM of Fractions 72/176,77/231,554/726 is 139608
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 176,231,726 . The biggest common factor number is the GCF number.
So the greatest common factor 176,231,726 is 11.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 72/176, 77/231, 554/726?
Answer: LCM of Numerators as per given numbers 72/176, 77/231, 554/726 is
LCM of Numerators i.e. for 72,77,554 is 1535688
GCF of denominators i.e. for 176,231,726 is 11.
Thus, LCM of Fractions is 139608.Finally, LCM of Fractions for 72/176, 77/231, 554/726 is 139608.