Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4204/957, 2831/1750 quickly i.e. 11901524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4204/957, 2831/1750 is 11901524.
LCM(4204/957, 2831/1750) = 11901524
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4204/957,2831/1750
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 4204,2831
Least Common Multiple of Numerators i.e. LCM of 4204,2831 is 11901524.
GCF of Denominators means GCF of 957,1750 as per the given fractions.
GCF of 957,1750 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4204,2831
Given numbers has no common factors except 1. So, there LCM is their product i.e 11901524
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 4204,2831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4204,2831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4204,2831) x common factors =1 x 1 = 1
LCM(4204,2831) = ( 4204 × 2831 ) / 1
LCM(4204,2831) = 11901524 / 1
LCM(4204,2831) = 11901524
Lets's calculate GCF of 957,1750
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11901524/1
Therefore the LCM of Fractions 4204/957,2831/1750 is 11901524
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Factors of 1750
List of positive integer factors of 1750 that divides 1750 without a remainder.
1,2,5,7,10,14,25,35,50,70,125,175,250,350,875,1750
Greatest Common Factor
We found the factors 957,1750 . The biggest common factor number is the GCF number.
So the greatest common factor 957,1750 is 1.
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 4204/957, 2831/1750?
Answer: LCM of Numerators as per given numbers 4204/957, 2831/1750 is
LCM of Numerators i.e. for 4204,2831 is 11901524
GCF of denominators i.e. for 957,1750 is 1.
Thus, LCM of Fractions is 11901524.Finally, LCM of Fractions for 4204/957, 2831/1750 is 11901524.