Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/625, 746/935, 877/154 quickly i.e. 54302086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/625, 746/935, 877/154 is 54302086.
LCM(83/625, 746/935, 877/154) = 54302086
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/625,746/935,877/154
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 83,746,877
Least Common Multiple of Numerators i.e. LCM of 83,746,877 is 54302086.
GCF of Denominators means GCF of 625,935,154 as per the given fractions.
GCF of 625,935,154 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,746,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 54302086
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 83,746,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,746,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,746,877) x common factors =1 x 1 = 1
LCM(83,746,877) = ( 83 × 746 × 877 ) / 1
LCM(83,746,877) = 54302086 / 1
LCM(83,746,877) = 54302086
Lets's calculate GCF of 625,935,154
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54302086/1
Therefore the LCM of Fractions 83/625,746/935,877/154 is 54302086
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
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 625,935,154 . The biggest common factor number is the GCF number.
So the greatest common factor 625,935,154 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 83/625, 746/935, 877/154?
Answer: LCM of Numerators as per given numbers 83/625, 746/935, 877/154 is
LCM of Numerators i.e. for 83,746,877 is 54302086
GCF of denominators i.e. for 625,935,154 is 1.
Thus, LCM of Fractions is 54302086.Finally, LCM of Fractions for 83/625, 746/935, 877/154 is 54302086.