Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 982/19, 497/94, 218/74 quickly i.e. 53197886 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 982/19, 497/94, 218/74 is 53197886.
LCM(982/19, 497/94, 218/74) = 53197886
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 982/19,497/94,218/74
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 982,497,218
Least Common Multiple of Numerators i.e. LCM of 982,497,218 is 53197886.
GCF of Denominators means GCF of 19,94,74 as per the given fractions.
GCF of 19,94,74 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 982,497,218
2 | 982, 497, 218 |
491, 497, 109 |
∴ So the LCM of the given numbers is 2 x 491 x 497 x 109 = 53197886
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 982,497,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,497,218) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(982,497,218) x common factors =1 x 2 = 2
LCM(982,497,218) = ( 982 × 497 × 218 ) / 2
LCM(982,497,218) = 106395772 / 2
LCM(982,497,218) = 53197886
Lets's calculate GCF of 19,94,74
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53197886/1
Therefore the LCM of Fractions 982/19,497/94,218/74 is 53197886
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Greatest Common Factor
We found the factors 19,94,74 . The biggest common factor number is the GCF number.
So the greatest common factor 19,94,74 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 982/19, 497/94, 218/74?
Answer: LCM of Numerators as per given numbers 982/19, 497/94, 218/74 is
LCM of Numerators i.e. for 982,497,218 is 53197886
GCF of denominators i.e. for 19,94,74 is 1.
Thus, LCM of Fractions is 53197886.Finally, LCM of Fractions for 982/19, 497/94, 218/74 is 53197886.