Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7775/778, 6198/946 quickly i.e. 24094725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7775/778, 6198/946 is 24094725.
LCM(7775/778, 6198/946) = 24094725
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7775/778,6198/946
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 7775,6198
Least Common Multiple of Numerators i.e. LCM of 7775,6198 is 48189450.
GCF of Denominators means GCF of 778,946 as per the given fractions.
GCF of 778,946 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7775,6198
Given numbers has no common factors except 1. So, there LCM is their product i.e 48189450
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 7775,6198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7775,6198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7775,6198) x common factors =1 x 1 = 1
LCM(7775,6198) = ( 7775 × 6198 ) / 1
LCM(7775,6198) = 48189450 / 1
LCM(7775,6198) = 48189450
Lets's calculate GCF of 778,946
2 | 778, 946 |
389, 473 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48189450/2
Therefore the LCM of Fractions 7775/778,6198/946 is 24094725
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 778,946 . The biggest common factor number is the GCF number.
So the greatest common factor 778,946 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 7775/778, 6198/946?
Answer: LCM of Numerators as per given numbers 7775/778, 6198/946 is
LCM of Numerators i.e. for 7775,6198 is 48189450
GCF of denominators i.e. for 778,946 is 2.
Thus, LCM of Fractions is 24094725.Finally, LCM of Fractions for 7775/778, 6198/946 is 24094725.