Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/608, 389/996, 874/234 quickly i.e. 5439776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/608, 389/996, 874/234 is 5439776.
LCM(64/608, 389/996, 874/234) = 5439776
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/608,389/996,874/234
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 64,389,874
Least Common Multiple of Numerators i.e. LCM of 64,389,874 is 10879552.
GCF of Denominators means GCF of 608,996,234 as per the given fractions.
GCF of 608,996,234 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,389,874
2 | 64, 389, 874 |
32, 389, 437 |
∴ So the LCM of the given numbers is 2 x 32 x 389 x 437 = 10879552
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 64,389,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,389,874) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(64,389,874) x common factors =1 x 2 = 2
LCM(64,389,874) = ( 64 × 389 × 874 ) / 2
LCM(64,389,874) = 21759104 / 2
LCM(64,389,874) = 10879552
Lets's calculate GCF of 608,996,234
2 | 608, 996, 234 |
304, 498, 117 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10879552/2
Therefore the LCM of Fractions 64/608,389/996,874/234 is 5439776
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 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
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
Greatest Common Factor
We found the factors 608,996,234 . The biggest common factor number is the GCF number.
So the greatest common factor 608,996,234 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 64/608, 389/996, 874/234?
Answer: LCM of Numerators as per given numbers 64/608, 389/996, 874/234 is
LCM of Numerators i.e. for 64,389,874 is 10879552
GCF of denominators i.e. for 608,996,234 is 2.
Thus, LCM of Fractions is 5439776.Finally, LCM of Fractions for 64/608, 389/996, 874/234 is 5439776.