Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/43, 88/91, 18/76, 93/224 quickly i.e. 1153944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/43, 88/91, 18/76, 93/224 is 1153944.
LCM(94/43, 88/91, 18/76, 93/224) = 1153944
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/43,88/91,18/76,93/224
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 94,88,18,93
Least Common Multiple of Numerators i.e. LCM of 94,88,18,93 is 1153944.
GCF of Denominators means GCF of 43,91,76,224 as per the given fractions.
GCF of 43,91,76,224 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,88,18,93
2 | 94, 88, 18, 93 |
3 | 47, 44, 9, 93 |
47, 44, 3, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 47 x 44 x 3 x 31 = 1153944
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 94,88,18,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,88,18,93) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(94,88,18,93) x common factors =1 x 12 = 12
LCM(94,88,18,93) = ( 94 × 88 × 18 × 93 ) / 12
LCM(94,88,18,93) = 13847328 / 12
LCM(94,88,18,93) = 1153944
Lets's calculate GCF of 43,91,76,224
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1153944/1
Therefore the LCM of Fractions 94/43,88/91,18/76,93/224 is 1153944
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Greatest Common Factor
We found the factors 43,91,76,224 . The biggest common factor number is the GCF number.
So the greatest common factor 43,91,76,224 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 94/43, 88/91, 18/76, 93/224?
Answer: LCM of Numerators as per given numbers 94/43, 88/91, 18/76, 93/224 is
LCM of Numerators i.e. for 94,88,18,93 is 1153944
GCF of denominators i.e. for 43,91,76,224 is 1.
Thus, LCM of Fractions is 1153944.Finally, LCM of Fractions for 94/43, 88/91, 18/76, 93/224 is 1153944.