Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/66, 49/74, 67/134 quickly i.e. 200263/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/66, 49/74, 67/134 is 200263/2.
LCM(61/66, 49/74, 67/134) = 200263/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/66,49/74,67/134
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 61,49,67
Least Common Multiple of Numerators i.e. LCM of 61,49,67 is 200263.
GCF of Denominators means GCF of 66,74,134 as per the given fractions.
GCF of 66,74,134 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,49,67
Given numbers has no common factors except 1. So, there LCM is their product i.e 200263
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 61,49,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,49,67) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,49,67) x common factors =1 x 1 = 1
LCM(61,49,67) = ( 61 × 49 × 67 ) / 1
LCM(61,49,67) = 200263 / 1
LCM(61,49,67) = 200263
Lets's calculate GCF of 66,74,134
2 | 66, 74, 134 |
33, 37, 67 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200263/2
Therefore the LCM of Fractions 61/66,49/74,67/134 is 200263/2
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Greatest Common Factor
We found the factors 66,74,134 . The biggest common factor number is the GCF number.
So the greatest common factor 66,74,134 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 61/66, 49/74, 67/134?
Answer: LCM of Numerators as per given numbers 61/66, 49/74, 67/134 is
LCM of Numerators i.e. for 61,49,67 is 200263
GCF of denominators i.e. for 66,74,134 is 2.
Thus, LCM of Fractions is 200263/2.Finally, LCM of Fractions for 61/66, 49/74, 67/134 is 200263/2.