Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4918/456, 6890/703 quickly i.e. 16942510/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4918/456, 6890/703 is 16942510/19.
LCM(4918/456, 6890/703) = 16942510/19
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4918/456,6890/703
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 4918,6890
Least Common Multiple of Numerators i.e. LCM of 4918,6890 is 16942510.
GCF of Denominators means GCF of 456,703 as per the given fractions.
GCF of 456,703 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4918,6890
2 | 4918, 6890 |
2459, 3445 |
∴ So the LCM of the given numbers is 2 x 2459 x 3445 = 16942510
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 4918,6890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4918,6890) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4918,6890) x common factors =2 x 1 = 2
LCM(4918,6890) = ( 4918 × 6890 ) / 2
LCM(4918,6890) = 33885020 / 2
LCM(4918,6890) = 16942510
Lets's calculate GCF of 456,703
19 | 456, 703 |
24, 37 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16942510/19
Therefore the LCM of Fractions 4918/456,6890/703 is 16942510/19
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Greatest Common Factor
We found the factors 456,703 . The biggest common factor number is the GCF number.
So the greatest common factor 456,703 is 19.
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 4918/456, 6890/703?
Answer: LCM of Numerators as per given numbers 4918/456, 6890/703 is
LCM of Numerators i.e. for 4918,6890 is 16942510
GCF of denominators i.e. for 456,703 is 19.
Thus, LCM of Fractions is 16942510/19.Finally, LCM of Fractions for 4918/456, 6890/703 is 16942510/19.