Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/10, 37/62, 77/52, 97/316 quickly i.e. 7461531 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/10, 37/62, 77/52, 97/316 is 7461531.
LCM(54/10, 37/62, 77/52, 97/316) = 7461531
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/10,37/62,77/52,97/316
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 54,37,77,97
Least Common Multiple of Numerators i.e. LCM of 54,37,77,97 is 14923062.
GCF of Denominators means GCF of 10,62,52,316 as per the given fractions.
GCF of 10,62,52,316 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,37,77,97
Given numbers has no common factors except 1. So, there LCM is their product i.e 14923062
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 54,37,77,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,37,77,97) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,37,77,97) x common factors =1 x 1 = 1
LCM(54,37,77,97) = ( 54 × 37 × 77 × 97 ) / 1
LCM(54,37,77,97) = 14923062 / 1
LCM(54,37,77,97) = 14923062
Lets's calculate GCF of 10,62,52,316
2 | 10, 62, 52, 316 |
5, 31, 26, 158 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14923062/2
Therefore the LCM of Fractions 54/10,37/62,77/52,97/316 is 7461531
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Greatest Common Factor
We found the factors 10,62,52,316 . The biggest common factor number is the GCF number.
So the greatest common factor 10,62,52,316 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 54/10, 37/62, 77/52, 97/316?
Answer: LCM of Numerators as per given numbers 54/10, 37/62, 77/52, 97/316 is
LCM of Numerators i.e. for 54,37,77,97 is 14923062
GCF of denominators i.e. for 10,62,52,316 is 2.
Thus, LCM of Fractions is 7461531.Finally, LCM of Fractions for 54/10, 37/62, 77/52, 97/316 is 7461531.