Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/37, 88/49, 14/56, 29/548 quickly i.e. 446600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/37, 88/49, 14/56, 29/548 is 446600.
LCM(25/37, 88/49, 14/56, 29/548) = 446600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/37,88/49,14/56,29/548
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 25,88,14,29
Least Common Multiple of Numerators i.e. LCM of 25,88,14,29 is 446600.
GCF of Denominators means GCF of 37,49,56,548 as per the given fractions.
GCF of 37,49,56,548 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,88,14,29
2 | 25, 88, 14, 29 |
25, 44, 7, 29 |
∴ So the LCM of the given numbers is 2 x 25 x 44 x 7 x 29 = 446600
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 25,88,14,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,88,14,29) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(25,88,14,29) x common factors =1 x 2 = 2
LCM(25,88,14,29) = ( 25 × 88 × 14 × 29 ) / 2
LCM(25,88,14,29) = 893200 / 2
LCM(25,88,14,29) = 446600
Lets's calculate GCF of 37,49,56,548
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 446600/1
Therefore the LCM of Fractions 25/37,88/49,14/56,29/548 is 446600
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Greatest Common Factor
We found the factors 37,49,56,548 . The biggest common factor number is the GCF number.
So the greatest common factor 37,49,56,548 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 25/37, 88/49, 14/56, 29/548?
Answer: LCM of Numerators as per given numbers 25/37, 88/49, 14/56, 29/548 is
LCM of Numerators i.e. for 25,88,14,29 is 446600
GCF of denominators i.e. for 37,49,56,548 is 1.
Thus, LCM of Fractions is 446600.Finally, LCM of Fractions for 25/37, 88/49, 14/56, 29/548 is 446600.