Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4787/157, 3649/554 quickly i.e. 17467763 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4787/157, 3649/554 is 17467763.
LCM(4787/157, 3649/554) = 17467763
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4787/157,3649/554
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 4787,3649
Least Common Multiple of Numerators i.e. LCM of 4787,3649 is 17467763.
GCF of Denominators means GCF of 157,554 as per the given fractions.
GCF of 157,554 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4787,3649
Given numbers has no common factors except 1. So, there LCM is their product i.e 17467763
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 4787,3649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4787,3649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4787,3649) x common factors =1 x 1 = 1
LCM(4787,3649) = ( 4787 × 3649 ) / 1
LCM(4787,3649) = 17467763 / 1
LCM(4787,3649) = 17467763
Lets's calculate GCF of 157,554
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17467763/1
Therefore the LCM of Fractions 4787/157,3649/554 is 17467763
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Greatest Common Factor
We found the factors 157,554 . The biggest common factor number is the GCF number.
So the greatest common factor 157,554 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 4787/157, 3649/554?
Answer: LCM of Numerators as per given numbers 4787/157, 3649/554 is
LCM of Numerators i.e. for 4787,3649 is 17467763
GCF of denominators i.e. for 157,554 is 1.
Thus, LCM of Fractions is 17467763.Finally, LCM of Fractions for 4787/157, 3649/554 is 17467763.