Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 283/134, 786/163, 975/956 quickly i.e. 72292350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 283/134, 786/163, 975/956 is 72292350.
LCM(283/134, 786/163, 975/956) = 72292350
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 283/134,786/163,975/956
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 283,786,975
Least Common Multiple of Numerators i.e. LCM of 283,786,975 is 72292350.
GCF of Denominators means GCF of 134,163,956 as per the given fractions.
GCF of 134,163,956 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 283,786,975
3 | 283, 786, 975 |
283, 262, 325 |
∴ So the LCM of the given numbers is 3 x 283 x 262 x 325 = 72292350
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 283,786,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,786,975) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(283,786,975) x common factors =1 x 3 = 3
LCM(283,786,975) = ( 283 × 786 × 975 ) / 3
LCM(283,786,975) = 216877050 / 3
LCM(283,786,975) = 72292350
Lets's calculate GCF of 134,163,956
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72292350/1
Therefore the LCM of Fractions 283/134,786/163,975/956 is 72292350
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 163
List of positive integer factors of 163 that divides 163 without a remainder.
1,163
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Greatest Common Factor
We found the factors 134,163,956 . The biggest common factor number is the GCF number.
So the greatest common factor 134,163,956 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 283/134, 786/163, 975/956?
Answer: LCM of Numerators as per given numbers 283/134, 786/163, 975/956 is
LCM of Numerators i.e. for 283,786,975 is 72292350
GCF of denominators i.e. for 134,163,956 is 1.
Thus, LCM of Fractions is 72292350.Finally, LCM of Fractions for 283/134, 786/163, 975/956 is 72292350.