Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2939/58, 8553/750 quickly i.e. 25137267/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2939/58, 8553/750 is 25137267/2.
LCM(2939/58, 8553/750) = 25137267/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2939/58,8553/750
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 2939,8553
Least Common Multiple of Numerators i.e. LCM of 2939,8553 is 25137267.
GCF of Denominators means GCF of 58,750 as per the given fractions.
GCF of 58,750 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2939,8553
Given numbers has no common factors except 1. So, there LCM is their product i.e 25137267
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 2939,8553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2939,8553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2939,8553) x common factors =1 x 1 = 1
LCM(2939,8553) = ( 2939 × 8553 ) / 1
LCM(2939,8553) = 25137267 / 1
LCM(2939,8553) = 25137267
Lets's calculate GCF of 58,750
2 | 58, 750 |
29, 375 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25137267/2
Therefore the LCM of Fractions 2939/58,8553/750 is 25137267/2
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Greatest Common Factor
We found the factors 58,750 . The biggest common factor number is the GCF number.
So the greatest common factor 58,750 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 2939/58, 8553/750?
Answer: LCM of Numerators as per given numbers 2939/58, 8553/750 is
LCM of Numerators i.e. for 2939,8553 is 25137267
GCF of denominators i.e. for 58,750 is 2.
Thus, LCM of Fractions is 25137267/2.Finally, LCM of Fractions for 2939/58, 8553/750 is 25137267/2.