Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/274, 758/983, 931/993 quickly i.e. 4234188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/274, 758/983, 931/993 is 4234188.
LCM(84/274, 758/983, 931/993) = 4234188
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/274,758/983,931/993
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 84,758,931
Least Common Multiple of Numerators i.e. LCM of 84,758,931 is 4234188.
GCF of Denominators means GCF of 274,983,993 as per the given fractions.
GCF of 274,983,993 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,758,931
2 | 84, 758, 931 |
7 | 42, 379, 931 |
6, 379, 133 |
∴ So the LCM of the given numbers is 2 x 7 x 6 x 379 x 133 = 4234188
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 84,758,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,758,931) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(84,758,931) x common factors =1 x 14 = 14
LCM(84,758,931) = ( 84 × 758 × 931 ) / 14
LCM(84,758,931) = 59278632 / 14
LCM(84,758,931) = 4234188
Lets's calculate GCF of 274,983,993
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4234188/1
Therefore the LCM of Fractions 84/274,758/983,931/993 is 4234188
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Factors of 983
List of positive integer factors of 983 that divides 983 without a remainder.
1,983
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Greatest Common Factor
We found the factors 274,983,993 . The biggest common factor number is the GCF number.
So the greatest common factor 274,983,993 is 1.
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 84/274, 758/983, 931/993?
Answer: LCM of Numerators as per given numbers 84/274, 758/983, 931/993 is
LCM of Numerators i.e. for 84,758,931 is 4234188
GCF of denominators i.e. for 274,983,993 is 1.
Thus, LCM of Fractions is 4234188.Finally, LCM of Fractions for 84/274, 758/983, 931/993 is 4234188.