Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2790/86, 4419/548 quickly i.e. 684945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2790/86, 4419/548 is 684945.
LCM(2790/86, 4419/548) = 684945
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2790/86,4419/548
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 2790,4419
Least Common Multiple of Numerators i.e. LCM of 2790,4419 is 1369890.
GCF of Denominators means GCF of 86,548 as per the given fractions.
GCF of 86,548 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2790,4419
3 | 2790, 4419 |
3 | 930, 1473 |
310, 491 |
∴ So the LCM of the given numbers is 3 x 3 x 310 x 491 = 1369890
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 2790,4419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2790,4419) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(2790,4419) x common factors =9 x 1 = 9
LCM(2790,4419) = ( 2790 × 4419 ) / 9
LCM(2790,4419) = 12329010 / 9
LCM(2790,4419) = 1369890
Lets's calculate GCF of 86,548
2 | 86, 548 |
43, 274 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1369890/2
Therefore the LCM of Fractions 2790/86,4419/548 is 684945
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Greatest Common Factor
We found the factors 86,548 . The biggest common factor number is the GCF number.
So the greatest common factor 86,548 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 2790/86, 4419/548?
Answer: LCM of Numerators as per given numbers 2790/86, 4419/548 is
LCM of Numerators i.e. for 2790,4419 is 1369890
GCF of denominators i.e. for 86,548 is 2.
Thus, LCM of Fractions is 684945.Finally, LCM of Fractions for 2790/86, 4419/548 is 684945.