Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 474/432, 930/188, 976/311 quickly i.e. 35853360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 474/432, 930/188, 976/311 is 35853360.
LCM(474/432, 930/188, 976/311) = 35853360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 474/432,930/188,976/311
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 474,930,976
Least Common Multiple of Numerators i.e. LCM of 474,930,976 is 35853360.
GCF of Denominators means GCF of 432,188,311 as per the given fractions.
GCF of 432,188,311 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 474,930,976
2 | 474, 930, 976 |
3 | 237, 465, 488 |
79, 155, 488 |
∴ So the LCM of the given numbers is 2 x 3 x 79 x 155 x 488 = 35853360
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 474,930,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,930,976) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(474,930,976) x common factors =2 x 6 = 12
LCM(474,930,976) = ( 474 × 930 × 976 ) / 12
LCM(474,930,976) = 430240320 / 12
LCM(474,930,976) = 35853360
Lets's calculate GCF of 432,188,311
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35853360/1
Therefore the LCM of Fractions 474/432,930/188,976/311 is 35853360
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Factors of 311
List of positive integer factors of 311 that divides 311 without a remainder.
1,311
Greatest Common Factor
We found the factors 432,188,311 . The biggest common factor number is the GCF number.
So the greatest common factor 432,188,311 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 474/432, 930/188, 976/311?
Answer: LCM of Numerators as per given numbers 474/432, 930/188, 976/311 is
LCM of Numerators i.e. for 474,930,976 is 35853360
GCF of denominators i.e. for 432,188,311 is 1.
Thus, LCM of Fractions is 35853360.Finally, LCM of Fractions for 474/432, 930/188, 976/311 is 35853360.