Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/148, 96/278, 502/109 quickly i.e. 1180704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/148, 96/278, 502/109 is 1180704.
LCM(98/148, 96/278, 502/109) = 1180704
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/148,96/278,502/109
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 98,96,502
Least Common Multiple of Numerators i.e. LCM of 98,96,502 is 1180704.
GCF of Denominators means GCF of 148,278,109 as per the given fractions.
GCF of 148,278,109 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,96,502
2 | 98, 96, 502 |
49, 48, 251 |
∴ So the LCM of the given numbers is 2 x 49 x 48 x 251 = 1180704
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 98,96,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,96,502) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(98,96,502) x common factors =2 x 2 = 4
LCM(98,96,502) = ( 98 × 96 × 502 ) / 4
LCM(98,96,502) = 4722816 / 4
LCM(98,96,502) = 1180704
Lets's calculate GCF of 148,278,109
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1180704/1
Therefore the LCM of Fractions 98/148,96/278,502/109 is 1180704
Factors of 148
List of positive integer factors of 148 that divides 148 without a remainder.
1,2,4,37,74,148
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Greatest Common Factor
We found the factors 148,278,109 . The biggest common factor number is the GCF number.
So the greatest common factor 148,278,109 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 98/148, 96/278, 502/109?
Answer: LCM of Numerators as per given numbers 98/148, 96/278, 502/109 is
LCM of Numerators i.e. for 98,96,502 is 1180704
GCF of denominators i.e. for 148,278,109 is 1.
Thus, LCM of Fractions is 1180704.Finally, LCM of Fractions for 98/148, 96/278, 502/109 is 1180704.