Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 548/884, 770/898 quickly i.e. 105490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 548/884, 770/898 is 105490.
LCM(548/884, 770/898) = 105490
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 548/884,770/898
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 548,770
Least Common Multiple of Numerators i.e. LCM of 548,770 is 210980.
GCF of Denominators means GCF of 884,898 as per the given fractions.
GCF of 884,898 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 548,770
2 | 548, 770 |
274, 385 |
∴ So the LCM of the given numbers is 2 x 274 x 385 = 210980
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 548,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,770) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(548,770) x common factors =2 x 1 = 2
LCM(548,770) = ( 548 × 770 ) / 2
LCM(548,770) = 421960 / 2
LCM(548,770) = 210980
Lets's calculate GCF of 884,898
2 | 884, 898 |
442, 449 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210980/2
Therefore the LCM of Fractions 548/884,770/898 is 105490
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Greatest Common Factor
We found the factors 884,898 . The biggest common factor number is the GCF number.
So the greatest common factor 884,898 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 548/884, 770/898?
Answer: LCM of Numerators as per given numbers 548/884, 770/898 is
LCM of Numerators i.e. for 548,770 is 210980
GCF of denominators i.e. for 884,898 is 2.
Thus, LCM of Fractions is 105490.Finally, LCM of Fractions for 548/884, 770/898 is 105490.