Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 734/168, 265/476 quickly i.e. 194510/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 734/168, 265/476 is 194510/28.
LCM(734/168, 265/476) = 194510/28
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 734/168,265/476
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 734,265
Least Common Multiple of Numerators i.e. LCM of 734,265 is 194510.
GCF of Denominators means GCF of 168,476 as per the given fractions.
GCF of 168,476 is 28 as it is the largest common factor for these numbers.
Lets's calculate LCM of 734,265
Given numbers has no common factors except 1. So, there LCM is their product i.e 194510
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 734,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,265) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(734,265) x common factors =1 x 1 = 1
LCM(734,265) = ( 734 × 265 ) / 1
LCM(734,265) = 194510 / 1
LCM(734,265) = 194510
Lets's calculate GCF of 168,476
2 | 168, 476 |
2 | 84, 238 |
7 | 42, 119 |
6, 17 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194510/28
Therefore the LCM of Fractions 734/168,265/476 is 194510/28
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Greatest Common Factor
We found the factors 168,476 . The biggest common factor number is the GCF number.
So the greatest common factor 168,476 is 28.
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 734/168, 265/476?
Answer: LCM of Numerators as per given numbers 734/168, 265/476 is
LCM of Numerators i.e. for 734,265 is 194510
GCF of denominators i.e. for 168,476 is 28.
Thus, LCM of Fractions is 194510/28.Finally, LCM of Fractions for 734/168, 265/476 is 194510/28.