Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/12, 64/342, 702/836 quickly i.e. 56160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/12, 64/342, 702/836 is 56160.
LCM(90/12, 64/342, 702/836) = 56160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/12,64/342,702/836
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 90,64,702
Least Common Multiple of Numerators i.e. LCM of 90,64,702 is 112320.
GCF of Denominators means GCF of 12,342,836 as per the given fractions.
GCF of 12,342,836 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,64,702
2 | 90, 64, 702 |
3 | 45, 32, 351 |
3 | 15, 32, 117 |
5, 32, 39 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 32 x 39 = 112320
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 90,64,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,64,702) = 2
common factors(in case of two or more numbers have common factors) = 18
GCF(90,64,702) x common factors =2 x 18 = 36
LCM(90,64,702) = ( 90 × 64 × 702 ) / 36
LCM(90,64,702) = 4043520 / 36
LCM(90,64,702) = 112320
Lets's calculate GCF of 12,342,836
2 | 12, 342, 836 |
6, 171, 418 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112320/2
Therefore the LCM of Fractions 90/12,64/342,702/836 is 56160
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Greatest Common Factor
We found the factors 12,342,836 . The biggest common factor number is the GCF number.
So the greatest common factor 12,342,836 is 2.
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 90/12, 64/342, 702/836?
Answer: LCM of Numerators as per given numbers 90/12, 64/342, 702/836 is
LCM of Numerators i.e. for 90,64,702 is 112320
GCF of denominators i.e. for 12,342,836 is 2.
Thus, LCM of Fractions is 56160.Finally, LCM of Fractions for 90/12, 64/342, 702/836 is 56160.