Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 952/94, 869/2840 quickly i.e. 413644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 952/94, 869/2840 is 413644.
LCM(952/94, 869/2840) = 413644
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 952/94,869/2840
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 952,869
Least Common Multiple of Numerators i.e. LCM of 952,869 is 827288.
GCF of Denominators means GCF of 94,2840 as per the given fractions.
GCF of 94,2840 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 952,869
Given numbers has no common factors except 1. So, there LCM is their product i.e 827288
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 952,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(952,869) x common factors =1 x 1 = 1
LCM(952,869) = ( 952 × 869 ) / 1
LCM(952,869) = 827288 / 1
LCM(952,869) = 827288
Lets's calculate GCF of 94,2840
2 | 94, 2840 |
47, 1420 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 827288/2
Therefore the LCM of Fractions 952/94,869/2840 is 413644
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 2840
List of positive integer factors of 2840 that divides 2840 without a remainder.
1,2,4,5,8,10,20,40,71,142,284,355,568,710,1420,2840
Greatest Common Factor
We found the factors 94,2840 . The biggest common factor number is the GCF number.
So the greatest common factor 94,2840 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 952/94, 869/2840?
Answer: LCM of Numerators as per given numbers 952/94, 869/2840 is
LCM of Numerators i.e. for 952,869 is 827288
GCF of denominators i.e. for 94,2840 is 2.
Thus, LCM of Fractions is 413644.Finally, LCM of Fractions for 952/94, 869/2840 is 413644.