Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 964/114, 5967/952 quickly i.e. 2876094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 964/114, 5967/952 is 2876094.
LCM(964/114, 5967/952) = 2876094
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 964/114,5967/952
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 964,5967
Least Common Multiple of Numerators i.e. LCM of 964,5967 is 5752188.
GCF of Denominators means GCF of 114,952 as per the given fractions.
GCF of 114,952 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 964,5967
Given numbers has no common factors except 1. So, there LCM is their product i.e 5752188
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 964,5967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,5967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(964,5967) x common factors =1 x 1 = 1
LCM(964,5967) = ( 964 × 5967 ) / 1
LCM(964,5967) = 5752188 / 1
LCM(964,5967) = 5752188
Lets's calculate GCF of 114,952
2 | 114, 952 |
57, 476 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5752188/2
Therefore the LCM of Fractions 964/114,5967/952 is 2876094
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Greatest Common Factor
We found the factors 114,952 . The biggest common factor number is the GCF number.
So the greatest common factor 114,952 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 964/114, 5967/952?
Answer: LCM of Numerators as per given numbers 964/114, 5967/952 is
LCM of Numerators i.e. for 964,5967 is 5752188
GCF of denominators i.e. for 114,952 is 2.
Thus, LCM of Fractions is 2876094.Finally, LCM of Fractions for 964/114, 5967/952 is 2876094.