Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2558/802, 1216/976 quickly i.e. 777632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2558/802, 1216/976 is 777632.
LCM(2558/802, 1216/976) = 777632
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2558/802,1216/976
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 2558,1216
Least Common Multiple of Numerators i.e. LCM of 2558,1216 is 1555264.
GCF of Denominators means GCF of 802,976 as per the given fractions.
GCF of 802,976 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2558,1216
2 | 2558, 1216 |
1279, 608 |
∴ So the LCM of the given numbers is 2 x 1279 x 608 = 1555264
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 2558,1216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2558,1216) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2558,1216) x common factors =2 x 1 = 2
LCM(2558,1216) = ( 2558 × 1216 ) / 2
LCM(2558,1216) = 3110528 / 2
LCM(2558,1216) = 1555264
Lets's calculate GCF of 802,976
2 | 802, 976 |
401, 488 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1555264/2
Therefore the LCM of Fractions 2558/802,1216/976 is 777632
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
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
Greatest Common Factor
We found the factors 802,976 . The biggest common factor number is the GCF number.
So the greatest common factor 802,976 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 2558/802, 1216/976?
Answer: LCM of Numerators as per given numbers 2558/802, 1216/976 is
LCM of Numerators i.e. for 2558,1216 is 1555264
GCF of denominators i.e. for 802,976 is 2.
Thus, LCM of Fractions is 777632.Finally, LCM of Fractions for 2558/802, 1216/976 is 777632.