Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/151, 831/281, 960/467 quickly i.e. 4520640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/151, 831/281, 960/467 is 4520640.
LCM(34/151, 831/281, 960/467) = 4520640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/151,831/281,960/467
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 34,831,960
Least Common Multiple of Numerators i.e. LCM of 34,831,960 is 4520640.
GCF of Denominators means GCF of 151,281,467 as per the given fractions.
GCF of 151,281,467 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,831,960
2 | 34, 831, 960 |
3 | 17, 831, 480 |
17, 277, 160 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 277 x 160 = 4520640
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 34,831,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,831,960) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(34,831,960) x common factors =1 x 6 = 6
LCM(34,831,960) = ( 34 × 831 × 960 ) / 6
LCM(34,831,960) = 27123840 / 6
LCM(34,831,960) = 4520640
Lets's calculate GCF of 151,281,467
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4520640/1
Therefore the LCM of Fractions 34/151,831/281,960/467 is 4520640
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Factors of 281
List of positive integer factors of 281 that divides 281 without a remainder.
1,281
Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1,467
Greatest Common Factor
We found the factors 151,281,467 . The biggest common factor number is the GCF number.
So the greatest common factor 151,281,467 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 34/151, 831/281, 960/467?
Answer: LCM of Numerators as per given numbers 34/151, 831/281, 960/467 is
LCM of Numerators i.e. for 34,831,960 is 4520640
GCF of denominators i.e. for 151,281,467 is 1.
Thus, LCM of Fractions is 4520640.Finally, LCM of Fractions for 34/151, 831/281, 960/467 is 4520640.