Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 152/830, 838/322 quickly i.e. 31844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 152/830, 838/322 is 31844.
LCM(152/830, 838/322) = 31844
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 152/830,838/322
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 152,838
Least Common Multiple of Numerators i.e. LCM of 152,838 is 63688.
GCF of Denominators means GCF of 830,322 as per the given fractions.
GCF of 830,322 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 152,838
2 | 152, 838 |
76, 419 |
∴ So the LCM of the given numbers is 2 x 76 x 419 = 63688
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 152,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,838) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(152,838) x common factors =2 x 1 = 2
LCM(152,838) = ( 152 × 838 ) / 2
LCM(152,838) = 127376 / 2
LCM(152,838) = 63688
Lets's calculate GCF of 830,322
2 | 830, 322 |
415, 161 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63688/2
Therefore the LCM of Fractions 152/830,838/322 is 31844
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Greatest Common Factor
We found the factors 830,322 . The biggest common factor number is the GCF number.
So the greatest common factor 830,322 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 152/830, 838/322?
Answer: LCM of Numerators as per given numbers 152/830, 838/322 is
LCM of Numerators i.e. for 152,838 is 63688
GCF of denominators i.e. for 830,322 is 2.
Thus, LCM of Fractions is 31844.Finally, LCM of Fractions for 152/830, 838/322 is 31844.