Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/48, 70/46, 982/919 quickly i.e. 824880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/48, 70/46, 982/919 is 824880.
LCM(48/48, 70/46, 982/919) = 824880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/48,70/46,982/919
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 48,70,982
Least Common Multiple of Numerators i.e. LCM of 48,70,982 is 824880.
GCF of Denominators means GCF of 48,46,919 as per the given fractions.
GCF of 48,46,919 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,70,982
2 | 48, 70, 982 |
24, 35, 491 |
∴ So the LCM of the given numbers is 2 x 24 x 35 x 491 = 824880
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 48,70,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,70,982) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(48,70,982) x common factors =2 x 2 = 4
LCM(48,70,982) = ( 48 × 70 × 982 ) / 4
LCM(48,70,982) = 3299520 / 4
LCM(48,70,982) = 824880
Lets's calculate GCF of 48,46,919
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 824880/1
Therefore the LCM of Fractions 48/48,70/46,982/919 is 824880
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Greatest Common Factor
We found the factors 48,46,919 . The biggest common factor number is the GCF number.
So the greatest common factor 48,46,919 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 48/48, 70/46, 982/919?
Answer: LCM of Numerators as per given numbers 48/48, 70/46, 982/919 is
LCM of Numerators i.e. for 48,70,982 is 824880
GCF of denominators i.e. for 48,46,919 is 1.
Thus, LCM of Fractions is 824880.Finally, LCM of Fractions for 48/48, 70/46, 982/919 is 824880.