Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 295/926, 8922/352 quickly i.e. 1315995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 295/926, 8922/352 is 1315995.
LCM(295/926, 8922/352) = 1315995
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 295/926,8922/352
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 295,8922
Least Common Multiple of Numerators i.e. LCM of 295,8922 is 2631990.
GCF of Denominators means GCF of 926,352 as per the given fractions.
GCF of 926,352 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 295,8922
Given numbers has no common factors except 1. So, there LCM is their product i.e 2631990
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 295,8922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,8922) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(295,8922) x common factors =1 x 1 = 1
LCM(295,8922) = ( 295 × 8922 ) / 1
LCM(295,8922) = 2631990 / 1
LCM(295,8922) = 2631990
Lets's calculate GCF of 926,352
2 | 926, 352 |
463, 176 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2631990/2
Therefore the LCM of Fractions 295/926,8922/352 is 1315995
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 926,352 . The biggest common factor number is the GCF number.
So the greatest common factor 926,352 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 295/926, 8922/352?
Answer: LCM of Numerators as per given numbers 295/926, 8922/352 is
LCM of Numerators i.e. for 295,8922 is 2631990
GCF of denominators i.e. for 926,352 is 2.
Thus, LCM of Fractions is 1315995.Finally, LCM of Fractions for 295/926, 8922/352 is 1315995.