Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/88, 24/58, 27/52, 45/110 quickly i.e. 25380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/88, 24/58, 27/52, 45/110 is 25380.
LCM(94/88, 24/58, 27/52, 45/110) = 25380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/88,24/58,27/52,45/110
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 94,24,27,45
Least Common Multiple of Numerators i.e. LCM of 94,24,27,45 is 50760.
GCF of Denominators means GCF of 88,58,52,110 as per the given fractions.
GCF of 88,58,52,110 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,24,27,45
2 | 94, 24, 27, 45 |
3 | 47, 12, 27, 45 |
3 | 47, 4, 9, 15 |
47, 4, 3, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 47 x 4 x 3 x 5 = 50760
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 94,24,27,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,24,27,45) = 1
common factors(in case of two or more numbers have common factors) = 54
GCF(94,24,27,45) x common factors =1 x 54 = 54
LCM(94,24,27,45) = ( 94 × 24 × 27 × 45 ) / 54
LCM(94,24,27,45) = 2741040 / 54
LCM(94,24,27,45) = 50760
Lets's calculate GCF of 88,58,52,110
2 | 88, 58, 52, 110 |
44, 29, 26, 55 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50760/2
Therefore the LCM of Fractions 94/88,24/58,27/52,45/110 is 25380
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Greatest Common Factor
We found the factors 88,58,52,110 . The biggest common factor number is the GCF number.
So the greatest common factor 88,58,52,110 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 94/88, 24/58, 27/52, 45/110?
Answer: LCM of Numerators as per given numbers 94/88, 24/58, 27/52, 45/110 is
LCM of Numerators i.e. for 94,24,27,45 is 50760
GCF of denominators i.e. for 88,58,52,110 is 2.
Thus, LCM of Fractions is 25380.Finally, LCM of Fractions for 94/88, 24/58, 27/52, 45/110 is 25380.