Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/194, 73/940, 975/702 quickly i.e. 1637025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/194, 73/940, 975/702 is 1637025.
LCM(46/194, 73/940, 975/702) = 1637025
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/194,73/940,975/702
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 46,73,975
Least Common Multiple of Numerators i.e. LCM of 46,73,975 is 3274050.
GCF of Denominators means GCF of 194,940,702 as per the given fractions.
GCF of 194,940,702 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,73,975
Given numbers has no common factors except 1. So, there LCM is their product i.e 3274050
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 46,73,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,73,975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,73,975) x common factors =1 x 1 = 1
LCM(46,73,975) = ( 46 × 73 × 975 ) / 1
LCM(46,73,975) = 3274050 / 1
LCM(46,73,975) = 3274050
Lets's calculate GCF of 194,940,702
2 | 194, 940, 702 |
97, 470, 351 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3274050/2
Therefore the LCM of Fractions 46/194,73/940,975/702 is 1637025
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 194,940,702 . The biggest common factor number is the GCF number.
So the greatest common factor 194,940,702 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 46/194, 73/940, 975/702?
Answer: LCM of Numerators as per given numbers 46/194, 73/940, 975/702 is
LCM of Numerators i.e. for 46,73,975 is 3274050
GCF of denominators i.e. for 194,940,702 is 2.
Thus, LCM of Fractions is 1637025.Finally, LCM of Fractions for 46/194, 73/940, 975/702 is 1637025.