Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/485, 454/224, 265/166 quickly i.e. 2767130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/485, 454/224, 265/166 is 2767130.
LCM(46/485, 454/224, 265/166) = 2767130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/485,454/224,265/166
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 46,454,265
Least Common Multiple of Numerators i.e. LCM of 46,454,265 is 2767130.
GCF of Denominators means GCF of 485,224,166 as per the given fractions.
GCF of 485,224,166 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,454,265
2 | 46, 454, 265 |
23, 227, 265 |
∴ So the LCM of the given numbers is 2 x 23 x 227 x 265 = 2767130
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 46,454,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,454,265) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(46,454,265) x common factors =1 x 2 = 2
LCM(46,454,265) = ( 46 × 454 × 265 ) / 2
LCM(46,454,265) = 5534260 / 2
LCM(46,454,265) = 2767130
Lets's calculate GCF of 485,224,166
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2767130/1
Therefore the LCM of Fractions 46/485,454/224,265/166 is 2767130
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Factors of 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Greatest Common Factor
We found the factors 485,224,166 . The biggest common factor number is the GCF number.
So the greatest common factor 485,224,166 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 46/485, 454/224, 265/166?
Answer: LCM of Numerators as per given numbers 46/485, 454/224, 265/166 is
LCM of Numerators i.e. for 46,454,265 is 2767130
GCF of denominators i.e. for 485,224,166 is 1.
Thus, LCM of Fractions is 2767130.Finally, LCM of Fractions for 46/485, 454/224, 265/166 is 2767130.