Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 222/60, 650/88, 976/696 quickly i.e. 8802300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 222/60, 650/88, 976/696 is 8802300.
LCM(222/60, 650/88, 976/696) = 8802300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 222/60,650/88,976/696
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 222,650,976
Least Common Multiple of Numerators i.e. LCM of 222,650,976 is 35209200.
GCF of Denominators means GCF of 60,88,696 as per the given fractions.
GCF of 60,88,696 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 222,650,976
2 | 222, 650, 976 |
111, 325, 488 |
∴ So the LCM of the given numbers is 2 x 111 x 325 x 488 = 35209200
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 222,650,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,650,976) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(222,650,976) x common factors =2 x 2 = 4
LCM(222,650,976) = ( 222 × 650 × 976 ) / 4
LCM(222,650,976) = 140836800 / 4
LCM(222,650,976) = 35209200
Lets's calculate GCF of 60,88,696
2 | 60, 88, 696 |
2 | 30, 44, 348 |
15, 22, 174 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35209200/4
Therefore the LCM of Fractions 222/60,650/88,976/696 is 8802300
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Greatest Common Factor
We found the factors 60,88,696 . The biggest common factor number is the GCF number.
So the greatest common factor 60,88,696 is 4.
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 222/60, 650/88, 976/696?
Answer: LCM of Numerators as per given numbers 222/60, 650/88, 976/696 is
LCM of Numerators i.e. for 222,650,976 is 35209200
GCF of denominators i.e. for 60,88,696 is 4.
Thus, LCM of Fractions is 8802300.Finally, LCM of Fractions for 222/60, 650/88, 976/696 is 8802300.