Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/962, 202/830, 491/244 quickly i.e. 1983640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/962, 202/830, 491/244 is 1983640.
LCM(80/962, 202/830, 491/244) = 1983640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/962,202/830,491/244
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 80,202,491
Least Common Multiple of Numerators i.e. LCM of 80,202,491 is 3967280.
GCF of Denominators means GCF of 962,830,244 as per the given fractions.
GCF of 962,830,244 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,202,491
2 | 80, 202, 491 |
40, 101, 491 |
∴ So the LCM of the given numbers is 2 x 40 x 101 x 491 = 3967280
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 80,202,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,202,491) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(80,202,491) x common factors =1 x 2 = 2
LCM(80,202,491) = ( 80 × 202 × 491 ) / 2
LCM(80,202,491) = 7934560 / 2
LCM(80,202,491) = 3967280
Lets's calculate GCF of 962,830,244
2 | 962, 830, 244 |
481, 415, 122 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3967280/2
Therefore the LCM of Fractions 80/962,202/830,491/244 is 1983640
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Greatest Common Factor
We found the factors 962,830,244 . The biggest common factor number is the GCF number.
So the greatest common factor 962,830,244 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 80/962, 202/830, 491/244?
Answer: LCM of Numerators as per given numbers 80/962, 202/830, 491/244 is
LCM of Numerators i.e. for 80,202,491 is 3967280
GCF of denominators i.e. for 962,830,244 is 2.
Thus, LCM of Fractions is 1983640.Finally, LCM of Fractions for 80/962, 202/830, 491/244 is 1983640.