Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 895/234, 298/917, 362/292 quickly i.e. 48274510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 895/234, 298/917, 362/292 is 48274510.
LCM(895/234, 298/917, 362/292) = 48274510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 895/234,298/917,362/292
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 895,298,362
Least Common Multiple of Numerators i.e. LCM of 895,298,362 is 48274510.
GCF of Denominators means GCF of 234,917,292 as per the given fractions.
GCF of 234,917,292 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 895,298,362
2 | 895, 298, 362 |
895, 149, 181 |
∴ So the LCM of the given numbers is 2 x 895 x 149 x 181 = 48274510
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 895,298,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,298,362) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(895,298,362) x common factors =1 x 2 = 2
LCM(895,298,362) = ( 895 × 298 × 362 ) / 2
LCM(895,298,362) = 96549020 / 2
LCM(895,298,362) = 48274510
Lets's calculate GCF of 234,917,292
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48274510/1
Therefore the LCM of Fractions 895/234,298/917,362/292 is 48274510
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 234,917,292 . The biggest common factor number is the GCF number.
So the greatest common factor 234,917,292 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 895/234, 298/917, 362/292?
Answer: LCM of Numerators as per given numbers 895/234, 298/917, 362/292 is
LCM of Numerators i.e. for 895,298,362 is 48274510
GCF of denominators i.e. for 234,917,292 is 1.
Thus, LCM of Fractions is 48274510.Finally, LCM of Fractions for 895/234, 298/917, 362/292 is 48274510.