Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/50, 76/74, 98/85, 84/97 quickly i.e. 189924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/50, 76/74, 98/85, 84/97 is 189924.
LCM(68/50, 76/74, 98/85, 84/97) = 189924
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/50,76/74,98/85,84/97
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 68,76,98,84
Least Common Multiple of Numerators i.e. LCM of 68,76,98,84 is 189924.
GCF of Denominators means GCF of 50,74,85,97 as per the given fractions.
GCF of 50,74,85,97 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,76,98,84
2 | 68, 76, 98, 84 |
2 | 34, 38, 49, 42 |
7 | 17, 19, 49, 21 |
17, 19, 7, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 17 x 19 x 7 x 3 = 189924
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 68,76,98,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,76,98,84) = 2
common factors(in case of two or more numbers have common factors) = 112
GCF(68,76,98,84) x common factors =2 x 112 = 224
LCM(68,76,98,84) = ( 68 × 76 × 98 × 84 ) / 224
LCM(68,76,98,84) = 42542976 / 224
LCM(68,76,98,84) = 189924
Lets's calculate GCF of 50,74,85,97
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189924/1
Therefore the LCM of Fractions 68/50,76/74,98/85,84/97 is 189924
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Greatest Common Factor
We found the factors 50,74,85,97 . The biggest common factor number is the GCF number.
So the greatest common factor 50,74,85,97 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 68/50, 76/74, 98/85, 84/97?
Answer: LCM of Numerators as per given numbers 68/50, 76/74, 98/85, 84/97 is
LCM of Numerators i.e. for 68,76,98,84 is 189924
GCF of denominators i.e. for 50,74,85,97 is 1.
Thus, LCM of Fractions is 189924.Finally, LCM of Fractions for 68/50, 76/74, 98/85, 84/97 is 189924.