Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/167, 51/464, 177/545 quickly i.e. 249747 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/167, 51/464, 177/545 is 249747.
LCM(83/167, 51/464, 177/545) = 249747
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/167,51/464,177/545
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 83,51,177
Least Common Multiple of Numerators i.e. LCM of 83,51,177 is 249747.
GCF of Denominators means GCF of 167,464,545 as per the given fractions.
GCF of 167,464,545 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,51,177
3 | 83, 51, 177 |
83, 17, 59 |
∴ So the LCM of the given numbers is 3 x 83 x 17 x 59 = 249747
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 83,51,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,51,177) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(83,51,177) x common factors =1 x 3 = 3
LCM(83,51,177) = ( 83 × 51 × 177 ) / 3
LCM(83,51,177) = 749241 / 3
LCM(83,51,177) = 249747
Lets's calculate GCF of 167,464,545
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249747/1
Therefore the LCM of Fractions 83/167,51/464,177/545 is 249747
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Greatest Common Factor
We found the factors 167,464,545 . The biggest common factor number is the GCF number.
So the greatest common factor 167,464,545 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 83/167, 51/464, 177/545?
Answer: LCM of Numerators as per given numbers 83/167, 51/464, 177/545 is
LCM of Numerators i.e. for 83,51,177 is 249747
GCF of denominators i.e. for 167,464,545 is 1.
Thus, LCM of Fractions is 249747.Finally, LCM of Fractions for 83/167, 51/464, 177/545 is 249747.