Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/234, 97/482, 16/734 quickly i.e. 776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/234, 97/482, 16/734 is 776.
LCM(2/234, 97/482, 16/734) = 776
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/234,97/482,16/734
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 2,97,16
Least Common Multiple of Numerators i.e. LCM of 2,97,16 is 1552.
GCF of Denominators means GCF of 234,482,734 as per the given fractions.
GCF of 234,482,734 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,97,16
2 | 2, 97, 16 |
1, 97, 8 |
∴ So the LCM of the given numbers is 2 x 1 x 97 x 8 = 1552
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 2,97,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,97,16) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(2,97,16) x common factors =1 x 2 = 2
LCM(2,97,16) = ( 2 × 97 × 16 ) / 2
LCM(2,97,16) = 3104 / 2
LCM(2,97,16) = 1552
Lets's calculate GCF of 234,482,734
2 | 234, 482, 734 |
117, 241, 367 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1552/2
Therefore the LCM of Fractions 2/234,97/482,16/734 is 776
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Greatest Common Factor
We found the factors 234,482,734 . The biggest common factor number is the GCF number.
So the greatest common factor 234,482,734 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 2/234, 97/482, 16/734?
Answer: LCM of Numerators as per given numbers 2/234, 97/482, 16/734 is
LCM of Numerators i.e. for 2,97,16 is 1552
GCF of denominators i.e. for 234,482,734 is 2.
Thus, LCM of Fractions is 776.Finally, LCM of Fractions for 2/234, 97/482, 16/734 is 776.