Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 918/57, 802/1158 quickly i.e. 122706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 918/57, 802/1158 is 122706.
LCM(918/57, 802/1158) = 122706
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 918/57,802/1158
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 918,802
Least Common Multiple of Numerators i.e. LCM of 918,802 is 368118.
GCF of Denominators means GCF of 57,1158 as per the given fractions.
GCF of 57,1158 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 918,802
2 | 918, 802 |
459, 401 |
∴ So the LCM of the given numbers is 2 x 459 x 401 = 368118
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 918,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,802) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(918,802) x common factors =2 x 1 = 2
LCM(918,802) = ( 918 × 802 ) / 2
LCM(918,802) = 736236 / 2
LCM(918,802) = 368118
Lets's calculate GCF of 57,1158
3 | 57, 1158 |
19, 386 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 368118/3
Therefore the LCM of Fractions 918/57,802/1158 is 122706
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 1158
List of positive integer factors of 1158 that divides 1158 without a remainder.
1,2,3,6,193,386,579,1158
Greatest Common Factor
We found the factors 57,1158 . The biggest common factor number is the GCF number.
So the greatest common factor 57,1158 is 3.
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 918/57, 802/1158?
Answer: LCM of Numerators as per given numbers 918/57, 802/1158 is
LCM of Numerators i.e. for 918,802 is 368118
GCF of denominators i.e. for 57,1158 is 3.
Thus, LCM of Fractions is 122706.Finally, LCM of Fractions for 918/57, 802/1158 is 122706.