Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1497/770, 4403/1432 quickly i.e. 6591291/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1497/770, 4403/1432 is 6591291/2.
LCM(1497/770, 4403/1432) = 6591291/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1497/770,4403/1432
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 1497,4403
Least Common Multiple of Numerators i.e. LCM of 1497,4403 is 6591291.
GCF of Denominators means GCF of 770,1432 as per the given fractions.
GCF of 770,1432 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1497,4403
Given numbers has no common factors except 1. So, there LCM is their product i.e 6591291
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 1497,4403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1497,4403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1497,4403) x common factors =1 x 1 = 1
LCM(1497,4403) = ( 1497 × 4403 ) / 1
LCM(1497,4403) = 6591291 / 1
LCM(1497,4403) = 6591291
Lets's calculate GCF of 770,1432
2 | 770, 1432 |
385, 716 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6591291/2
Therefore the LCM of Fractions 1497/770,4403/1432 is 6591291/2
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Factors of 1432
List of positive integer factors of 1432 that divides 1432 without a remainder.
1,2,4,8,179,358,716,1432
Greatest Common Factor
We found the factors 770,1432 . The biggest common factor number is the GCF number.
So the greatest common factor 770,1432 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 1497/770, 4403/1432?
Answer: LCM of Numerators as per given numbers 1497/770, 4403/1432 is
LCM of Numerators i.e. for 1497,4403 is 6591291
GCF of denominators i.e. for 770,1432 is 2.
Thus, LCM of Fractions is 6591291/2.Finally, LCM of Fractions for 1497/770, 4403/1432 is 6591291/2.