Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3736/976, 2530/2532 quickly i.e. 1181510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3736/976, 2530/2532 is 1181510.
LCM(3736/976, 2530/2532) = 1181510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3736/976,2530/2532
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 3736,2530
Least Common Multiple of Numerators i.e. LCM of 3736,2530 is 4726040.
GCF of Denominators means GCF of 976,2532 as per the given fractions.
GCF of 976,2532 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3736,2530
2 | 3736, 2530 |
1868, 1265 |
∴ So the LCM of the given numbers is 2 x 1868 x 1265 = 4726040
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 3736,2530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3736,2530) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3736,2530) x common factors =2 x 1 = 2
LCM(3736,2530) = ( 3736 × 2530 ) / 2
LCM(3736,2530) = 9452080 / 2
LCM(3736,2530) = 4726040
Lets's calculate GCF of 976,2532
2 | 976, 2532 |
2 | 488, 1266 |
244, 633 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4726040/4
Therefore the LCM of Fractions 3736/976,2530/2532 is 1181510
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 2532
List of positive integer factors of 2532 that divides 2532 without a remainder.
1,2,3,4,6,12,211,422,633,844,1266,2532
Greatest Common Factor
We found the factors 976,2532 . The biggest common factor number is the GCF number.
So the greatest common factor 976,2532 is 4.
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 3736/976, 2530/2532?
Answer: LCM of Numerators as per given numbers 3736/976, 2530/2532 is
LCM of Numerators i.e. for 3736,2530 is 4726040
GCF of denominators i.e. for 976,2532 is 4.
Thus, LCM of Fractions is 1181510.Finally, LCM of Fractions for 3736/976, 2530/2532 is 1181510.