Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/25, 78/46, 212/35 quickly i.e. 405132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/25, 78/46, 212/35 is 405132.
LCM(49/25, 78/46, 212/35) = 405132
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/25,78/46,212/35
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 49,78,212
Least Common Multiple of Numerators i.e. LCM of 49,78,212 is 405132.
GCF of Denominators means GCF of 25,46,35 as per the given fractions.
GCF of 25,46,35 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,78,212
2 | 49, 78, 212 |
49, 39, 106 |
∴ So the LCM of the given numbers is 2 x 49 x 39 x 106 = 405132
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 49,78,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,78,212) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(49,78,212) x common factors =1 x 2 = 2
LCM(49,78,212) = ( 49 × 78 × 212 ) / 2
LCM(49,78,212) = 810264 / 2
LCM(49,78,212) = 405132
Lets's calculate GCF of 25,46,35
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 405132/1
Therefore the LCM of Fractions 49/25,78/46,212/35 is 405132
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Greatest Common Factor
We found the factors 25,46,35 . The biggest common factor number is the GCF number.
So the greatest common factor 25,46,35 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 49/25, 78/46, 212/35?
Answer: LCM of Numerators as per given numbers 49/25, 78/46, 212/35 is
LCM of Numerators i.e. for 49,78,212 is 405132
GCF of denominators i.e. for 25,46,35 is 1.
Thus, LCM of Fractions is 405132.Finally, LCM of Fractions for 49/25, 78/46, 212/35 is 405132.