Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/898, 7239/4776 quickly i.e. 166497 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/898, 7239/4776 is 166497.
LCM(46/898, 7239/4776) = 166497
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/898,7239/4776
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 46,7239
Least Common Multiple of Numerators i.e. LCM of 46,7239 is 332994.
GCF of Denominators means GCF of 898,4776 as per the given fractions.
GCF of 898,4776 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,7239
Given numbers has no common factors except 1. So, there LCM is their product i.e 332994
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 46,7239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,7239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,7239) x common factors =1 x 1 = 1
LCM(46,7239) = ( 46 × 7239 ) / 1
LCM(46,7239) = 332994 / 1
LCM(46,7239) = 332994
Lets's calculate GCF of 898,4776
2 | 898, 4776 |
449, 2388 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 332994/2
Therefore the LCM of Fractions 46/898,7239/4776 is 166497
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 4776
List of positive integer factors of 4776 that divides 4776 without a remainder.
1,2,3,4,6,8,12,24,199,398,597,796,1194,1592,2388,4776
Greatest Common Factor
We found the factors 898,4776 . The biggest common factor number is the GCF number.
So the greatest common factor 898,4776 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 46/898, 7239/4776?
Answer: LCM of Numerators as per given numbers 46/898, 7239/4776 is
LCM of Numerators i.e. for 46,7239 is 332994
GCF of denominators i.e. for 898,4776 is 2.
Thus, LCM of Fractions is 166497.Finally, LCM of Fractions for 46/898, 7239/4776 is 166497.