Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/95, 4/31, 3/42, 44/558 quickly i.e. 924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/95, 4/31, 3/42, 44/558 is 924.
LCM(7/95, 4/31, 3/42, 44/558) = 924
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/95,4/31,3/42,44/558
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 7,4,3,44
Least Common Multiple of Numerators i.e. LCM of 7,4,3,44 is 924.
GCF of Denominators means GCF of 95,31,42,558 as per the given fractions.
GCF of 95,31,42,558 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,4,3,44
2 | 7, 4, 3, 44 |
2 | 7, 2, 3, 22 |
7, 1, 3, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 3 x 11 = 924
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 7,4,3,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,4,3,44) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(7,4,3,44) x common factors =1 x 4 = 4
LCM(7,4,3,44) = ( 7 × 4 × 3 × 44 ) / 4
LCM(7,4,3,44) = 3696 / 4
LCM(7,4,3,44) = 924
Lets's calculate GCF of 95,31,42,558
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 924/1
Therefore the LCM of Fractions 7/95,4/31,3/42,44/558 is 924
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1,2,3,6,9,18,31,62,93,186,279,558
Greatest Common Factor
We found the factors 95,31,42,558 . The biggest common factor number is the GCF number.
So the greatest common factor 95,31,42,558 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 7/95, 4/31, 3/42, 44/558?
Answer: LCM of Numerators as per given numbers 7/95, 4/31, 3/42, 44/558 is
LCM of Numerators i.e. for 7,4,3,44 is 924
GCF of denominators i.e. for 95,31,42,558 is 1.
Thus, LCM of Fractions is 924.Finally, LCM of Fractions for 7/95, 4/31, 3/42, 44/558 is 924.