Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/665, 275/127, 935/262 quickly i.e. 9350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/665, 275/127, 935/262 is 9350.
LCM(34/665, 275/127, 935/262) = 9350
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/665,275/127,935/262
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 34,275,935
Least Common Multiple of Numerators i.e. LCM of 34,275,935 is 9350.
GCF of Denominators means GCF of 665,127,262 as per the given fractions.
GCF of 665,127,262 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,275,935
5 | 34, 275, 935 |
11 | 34, 55, 187 |
17 | 34, 5, 17 |
2, 5, 1 |
∴ So the LCM of the given numbers is 5 x 11 x 17 x 2 x 5 x 1 = 9350
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 34,275,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,275,935) = 1
common factors(in case of two or more numbers have common factors) = 935
GCF(34,275,935) x common factors =1 x 935 = 935
LCM(34,275,935) = ( 34 × 275 × 935 ) / 935
LCM(34,275,935) = 8742250 / 935
LCM(34,275,935) = 9350
Lets's calculate GCF of 665,127,262
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9350/1
Therefore the LCM of Fractions 34/665,275/127,935/262 is 9350
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Factors of 127
List of positive integer factors of 127 that divides 127 without a remainder.
1,127
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Greatest Common Factor
We found the factors 665,127,262 . The biggest common factor number is the GCF number.
So the greatest common factor 665,127,262 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 34/665, 275/127, 935/262?
Answer: LCM of Numerators as per given numbers 34/665, 275/127, 935/262 is
LCM of Numerators i.e. for 34,275,935 is 9350
GCF of denominators i.e. for 665,127,262 is 1.
Thus, LCM of Fractions is 9350.Finally, LCM of Fractions for 34/665, 275/127, 935/262 is 9350.