Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/935, 67/495, 960/425 quickly i.e. 141504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/935, 67/495, 960/425 is 141504.
LCM(55/935, 67/495, 960/425) = 141504
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/935,67/495,960/425
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 55,67,960
Least Common Multiple of Numerators i.e. LCM of 55,67,960 is 707520.
GCF of Denominators means GCF of 935,495,425 as per the given fractions.
GCF of 935,495,425 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,67,960
5 | 55, 67, 960 |
11, 67, 192 |
∴ So the LCM of the given numbers is 5 x 11 x 67 x 192 = 707520
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 55,67,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,67,960) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(55,67,960) x common factors =1 x 5 = 5
LCM(55,67,960) = ( 55 × 67 × 960 ) / 5
LCM(55,67,960) = 3537600 / 5
LCM(55,67,960) = 707520
Lets's calculate GCF of 935,495,425
5 | 935, 495, 425 |
187, 99, 85 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 707520/5
Therefore the LCM of Fractions 55/935,67/495,960/425 is 141504
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Greatest Common Factor
We found the factors 935,495,425 . The biggest common factor number is the GCF number.
So the greatest common factor 935,495,425 is 5.
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 55/935, 67/495, 960/425?
Answer: LCM of Numerators as per given numbers 55/935, 67/495, 960/425 is
LCM of Numerators i.e. for 55,67,960 is 707520
GCF of denominators i.e. for 935,495,425 is 5.
Thus, LCM of Fractions is 141504.Finally, LCM of Fractions for 55/935, 67/495, 960/425 is 141504.