Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/134, 43/978, 782/154 quickly i.e. 1059219 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/134, 43/978, 782/154 is 1059219.
LCM(63/134, 43/978, 782/154) = 1059219
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/134,43/978,782/154
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 63,43,782
Least Common Multiple of Numerators i.e. LCM of 63,43,782 is 2118438.
GCF of Denominators means GCF of 134,978,154 as per the given fractions.
GCF of 134,978,154 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,43,782
Given numbers has no common factors except 1. So, there LCM is their product i.e 2118438
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 63,43,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,43,782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,43,782) x common factors =1 x 1 = 1
LCM(63,43,782) = ( 63 × 43 × 782 ) / 1
LCM(63,43,782) = 2118438 / 1
LCM(63,43,782) = 2118438
Lets's calculate GCF of 134,978,154
2 | 134, 978, 154 |
67, 489, 77 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2118438/2
Therefore the LCM of Fractions 63/134,43/978,782/154 is 1059219
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors 134,978,154 . The biggest common factor number is the GCF number.
So the greatest common factor 134,978,154 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 63/134, 43/978, 782/154?
Answer: LCM of Numerators as per given numbers 63/134, 43/978, 782/154 is
LCM of Numerators i.e. for 63,43,782 is 2118438
GCF of denominators i.e. for 134,978,154 is 2.
Thus, LCM of Fractions is 1059219.Finally, LCM of Fractions for 63/134, 43/978, 782/154 is 1059219.