Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 850/976, 9498/278 quickly i.e. 2018325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 850/976, 9498/278 is 2018325.
LCM(850/976, 9498/278) = 2018325
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 850/976,9498/278
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 850,9498
Least Common Multiple of Numerators i.e. LCM of 850,9498 is 4036650.
GCF of Denominators means GCF of 976,278 as per the given fractions.
GCF of 976,278 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 850,9498
2 | 850, 9498 |
425, 4749 |
∴ So the LCM of the given numbers is 2 x 425 x 4749 = 4036650
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 850,9498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,9498) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(850,9498) x common factors =2 x 1 = 2
LCM(850,9498) = ( 850 × 9498 ) / 2
LCM(850,9498) = 8073300 / 2
LCM(850,9498) = 4036650
Lets's calculate GCF of 976,278
2 | 976, 278 |
488, 139 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4036650/2
Therefore the LCM of Fractions 850/976,9498/278 is 2018325
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Greatest Common Factor
We found the factors 976,278 . The biggest common factor number is the GCF number.
So the greatest common factor 976,278 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 850/976, 9498/278?
Answer: LCM of Numerators as per given numbers 850/976, 9498/278 is
LCM of Numerators i.e. for 850,9498 is 4036650
GCF of denominators i.e. for 976,278 is 2.
Thus, LCM of Fractions is 2018325.Finally, LCM of Fractions for 850/976, 9498/278 is 2018325.