Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/608, 88/852, 134/521 quickly i.e. 123816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/608, 88/852, 134/521 is 123816.
LCM(84/608, 88/852, 134/521) = 123816
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/608,88/852,134/521
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 84,88,134
Least Common Multiple of Numerators i.e. LCM of 84,88,134 is 123816.
GCF of Denominators means GCF of 608,852,521 as per the given fractions.
GCF of 608,852,521 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,88,134
2 | 84, 88, 134 |
2 | 42, 44, 67 |
21, 22, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 21 x 22 x 67 = 123816
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 84,88,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,88,134) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(84,88,134) x common factors =2 x 4 = 8
LCM(84,88,134) = ( 84 × 88 × 134 ) / 8
LCM(84,88,134) = 990528 / 8
LCM(84,88,134) = 123816
Lets's calculate GCF of 608,852,521
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123816/1
Therefore the LCM of Fractions 84/608,88/852,134/521 is 123816
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 521
List of positive integer factors of 521 that divides 521 without a remainder.
1,521
Greatest Common Factor
We found the factors 608,852,521 . The biggest common factor number is the GCF number.
So the greatest common factor 608,852,521 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 84/608, 88/852, 134/521?
Answer: LCM of Numerators as per given numbers 84/608, 88/852, 134/521 is
LCM of Numerators i.e. for 84,88,134 is 123816
GCF of denominators i.e. for 608,852,521 is 1.
Thus, LCM of Fractions is 123816.Finally, LCM of Fractions for 84/608, 88/852, 134/521 is 123816.