Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 880/94, 713/74, 957/48 quickly i.e. 27293640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 880/94, 713/74, 957/48 is 27293640.
LCM(880/94, 713/74, 957/48) = 27293640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 880/94,713/74,957/48
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 880,713,957
Least Common Multiple of Numerators i.e. LCM of 880,713,957 is 54587280.
GCF of Denominators means GCF of 94,74,48 as per the given fractions.
GCF of 94,74,48 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 880,713,957
11 | 880, 713, 957 |
80, 713, 87 |
∴ So the LCM of the given numbers is 11 x 80 x 713 x 87 = 54587280
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 880,713,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,713,957) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(880,713,957) x common factors =1 x 11 = 11
LCM(880,713,957) = ( 880 × 713 × 957 ) / 11
LCM(880,713,957) = 600460080 / 11
LCM(880,713,957) = 54587280
Lets's calculate GCF of 94,74,48
2 | 94, 74, 48 |
47, 37, 24 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54587280/2
Therefore the LCM of Fractions 880/94,713/74,957/48 is 27293640
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Greatest Common Factor
We found the factors 94,74,48 . The biggest common factor number is the GCF number.
So the greatest common factor 94,74,48 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 880/94, 713/74, 957/48?
Answer: LCM of Numerators as per given numbers 880/94, 713/74, 957/48 is
LCM of Numerators i.e. for 880,713,957 is 54587280
GCF of denominators i.e. for 94,74,48 is 2.
Thus, LCM of Fractions is 27293640.Finally, LCM of Fractions for 880/94, 713/74, 957/48 is 27293640.