Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 157/94, 4758/580 quickly i.e. 373503 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 157/94, 4758/580 is 373503.
LCM(157/94, 4758/580) = 373503
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 157/94,4758/580
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 157,4758
Least Common Multiple of Numerators i.e. LCM of 157,4758 is 747006.
GCF of Denominators means GCF of 94,580 as per the given fractions.
GCF of 94,580 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 157,4758
Given numbers has no common factors except 1. So, there LCM is their product i.e 747006
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 157,4758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,4758) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,4758) x common factors =1 x 1 = 1
LCM(157,4758) = ( 157 × 4758 ) / 1
LCM(157,4758) = 747006 / 1
LCM(157,4758) = 747006
Lets's calculate GCF of 94,580
2 | 94, 580 |
47, 290 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 747006/2
Therefore the LCM of Fractions 157/94,4758/580 is 373503
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 94,580 . The biggest common factor number is the GCF number.
So the greatest common factor 94,580 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 157/94, 4758/580?
Answer: LCM of Numerators as per given numbers 157/94, 4758/580 is
LCM of Numerators i.e. for 157,4758 is 747006
GCF of denominators i.e. for 94,580 is 2.
Thus, LCM of Fractions is 373503.Finally, LCM of Fractions for 157/94, 4758/580 is 373503.