Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 163/282, 6657/177 quickly i.e. 361697 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 163/282, 6657/177 is 361697.
LCM(163/282, 6657/177) = 361697
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 163/282,6657/177
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 163,6657
Least Common Multiple of Numerators i.e. LCM of 163,6657 is 1085091.
GCF of Denominators means GCF of 282,177 as per the given fractions.
GCF of 282,177 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 163,6657
Given numbers has no common factors except 1. So, there LCM is their product i.e 1085091
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 163,6657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,6657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,6657) x common factors =1 x 1 = 1
LCM(163,6657) = ( 163 × 6657 ) / 1
LCM(163,6657) = 1085091 / 1
LCM(163,6657) = 1085091
Lets's calculate GCF of 282,177
3 | 282, 177 |
94, 59 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1085091/3
Therefore the LCM of Fractions 163/282,6657/177 is 361697
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Greatest Common Factor
We found the factors 282,177 . The biggest common factor number is the GCF number.
So the greatest common factor 282,177 is 3.
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 163/282, 6657/177?
Answer: LCM of Numerators as per given numbers 163/282, 6657/177 is
LCM of Numerators i.e. for 163,6657 is 1085091
GCF of denominators i.e. for 282,177 is 3.
Thus, LCM of Fractions is 361697.Finally, LCM of Fractions for 163/282, 6657/177 is 361697.