Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/652, 97/218, 373/796 quickly i.e. 180905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/652, 97/218, 373/796 is 180905.
LCM(10/652, 97/218, 373/796) = 180905
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/652,97/218,373/796
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 10,97,373
Least Common Multiple of Numerators i.e. LCM of 10,97,373 is 361810.
GCF of Denominators means GCF of 652,218,796 as per the given fractions.
GCF of 652,218,796 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,97,373
Given numbers has no common factors except 1. So, there LCM is their product i.e 361810
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 10,97,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,97,373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,97,373) x common factors =1 x 1 = 1
LCM(10,97,373) = ( 10 × 97 × 373 ) / 1
LCM(10,97,373) = 361810 / 1
LCM(10,97,373) = 361810
Lets's calculate GCF of 652,218,796
2 | 652, 218, 796 |
326, 109, 398 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 361810/2
Therefore the LCM of Fractions 10/652,97/218,373/796 is 180905
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Greatest Common Factor
We found the factors 652,218,796 . The biggest common factor number is the GCF number.
So the greatest common factor 652,218,796 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 10/652, 97/218, 373/796?
Answer: LCM of Numerators as per given numbers 10/652, 97/218, 373/796 is
LCM of Numerators i.e. for 10,97,373 is 361810
GCF of denominators i.e. for 652,218,796 is 2.
Thus, LCM of Fractions is 180905.Finally, LCM of Fractions for 10/652, 97/218, 373/796 is 180905.