Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2219/885, 6290/2751 quickly i.e. 13957510/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2219/885, 6290/2751 is 13957510/3.
LCM(2219/885, 6290/2751) = 13957510/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2219/885,6290/2751
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 2219,6290
Least Common Multiple of Numerators i.e. LCM of 2219,6290 is 13957510.
GCF of Denominators means GCF of 885,2751 as per the given fractions.
GCF of 885,2751 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2219,6290
Given numbers has no common factors except 1. So, there LCM is their product i.e 13957510
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 2219,6290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2219,6290) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2219,6290) x common factors =1 x 1 = 1
LCM(2219,6290) = ( 2219 × 6290 ) / 1
LCM(2219,6290) = 13957510 / 1
LCM(2219,6290) = 13957510
Lets's calculate GCF of 885,2751
3 | 885, 2751 |
295, 917 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13957510/3
Therefore the LCM of Fractions 2219/885,6290/2751 is 13957510/3
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 2751
List of positive integer factors of 2751 that divides 2751 without a remainder.
1,3,7,21,131,393,917,2751
Greatest Common Factor
We found the factors 885,2751 . The biggest common factor number is the GCF number.
So the greatest common factor 885,2751 is 3.
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 2219/885, 6290/2751?
Answer: LCM of Numerators as per given numbers 2219/885, 6290/2751 is
LCM of Numerators i.e. for 2219,6290 is 13957510
GCF of denominators i.e. for 885,2751 is 3.
Thus, LCM of Fractions is 13957510/3.Finally, LCM of Fractions for 2219/885, 6290/2751 is 13957510/3.