Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/614, 63/316, 927/874 quickly i.e. 25956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/614, 63/316, 927/874 is 25956.
LCM(56/614, 63/316, 927/874) = 25956
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/614,63/316,927/874
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 56,63,927
Least Common Multiple of Numerators i.e. LCM of 56,63,927 is 51912.
GCF of Denominators means GCF of 614,316,874 as per the given fractions.
GCF of 614,316,874 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,63,927
3 | 56, 63, 927 |
3 | 56, 21, 309 |
7 | 56, 7, 103 |
8, 1, 103 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 8 x 1 x 103 = 51912
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 56,63,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,63,927) = 1
common factors(in case of two or more numbers have common factors) = 63
GCF(56,63,927) x common factors =1 x 63 = 63
LCM(56,63,927) = ( 56 × 63 × 927 ) / 63
LCM(56,63,927) = 3270456 / 63
LCM(56,63,927) = 51912
Lets's calculate GCF of 614,316,874
2 | 614, 316, 874 |
307, 158, 437 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51912/2
Therefore the LCM of Fractions 56/614,63/316,927/874 is 25956
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 614,316,874 . The biggest common factor number is the GCF number.
So the greatest common factor 614,316,874 is 2.
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 56/614, 63/316, 927/874?
Answer: LCM of Numerators as per given numbers 56/614, 63/316, 927/874 is
LCM of Numerators i.e. for 56,63,927 is 51912
GCF of denominators i.e. for 614,316,874 is 2.
Thus, LCM of Fractions is 25956.Finally, LCM of Fractions for 56/614, 63/316, 927/874 is 25956.