Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/434, 376/554, 187/273 quickly i.e. 1335928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/434, 376/554, 187/273 is 1335928.
LCM(76/434, 376/554, 187/273) = 1335928
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/434,376/554,187/273
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 76,376,187
Least Common Multiple of Numerators i.e. LCM of 76,376,187 is 1335928.
GCF of Denominators means GCF of 434,554,273 as per the given fractions.
GCF of 434,554,273 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,376,187
2 | 76, 376, 187 |
2 | 38, 188, 187 |
19, 94, 187 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 94 x 187 = 1335928
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 76,376,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,376,187) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(76,376,187) x common factors =1 x 4 = 4
LCM(76,376,187) = ( 76 × 376 × 187 ) / 4
LCM(76,376,187) = 5343712 / 4
LCM(76,376,187) = 1335928
Lets's calculate GCF of 434,554,273
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1335928/1
Therefore the LCM of Fractions 76/434,376/554,187/273 is 1335928
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Greatest Common Factor
We found the factors 434,554,273 . The biggest common factor number is the GCF number.
So the greatest common factor 434,554,273 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 76/434, 376/554, 187/273?
Answer: LCM of Numerators as per given numbers 76/434, 376/554, 187/273 is
LCM of Numerators i.e. for 76,376,187 is 1335928
GCF of denominators i.e. for 434,554,273 is 1.
Thus, LCM of Fractions is 1335928.Finally, LCM of Fractions for 76/434, 376/554, 187/273 is 1335928.