Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1976/99, 7354/601 quickly i.e. 7265752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1976/99, 7354/601 is 7265752.
LCM(1976/99, 7354/601) = 7265752
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1976/99,7354/601
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 1976,7354
Least Common Multiple of Numerators i.e. LCM of 1976,7354 is 7265752.
GCF of Denominators means GCF of 99,601 as per the given fractions.
GCF of 99,601 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1976,7354
2 | 1976, 7354 |
988, 3677 |
∴ So the LCM of the given numbers is 2 x 988 x 3677 = 7265752
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 1976,7354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1976,7354) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1976,7354) x common factors =2 x 1 = 2
LCM(1976,7354) = ( 1976 × 7354 ) / 2
LCM(1976,7354) = 14531504 / 2
LCM(1976,7354) = 7265752
Lets's calculate GCF of 99,601
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7265752/1
Therefore the LCM of Fractions 1976/99,7354/601 is 7265752
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Greatest Common Factor
We found the factors 99,601 . The biggest common factor number is the GCF number.
So the greatest common factor 99,601 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 1976/99, 7354/601?
Answer: LCM of Numerators as per given numbers 1976/99, 7354/601 is
LCM of Numerators i.e. for 1976,7354 is 7265752
GCF of denominators i.e. for 99,601 is 1.
Thus, LCM of Fractions is 7265752.Finally, LCM of Fractions for 1976/99, 7354/601 is 7265752.