Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 756/497, 2204/3353 quickly i.e. 59508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 756/497, 2204/3353 is 59508.
LCM(756/497, 2204/3353) = 59508
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 756/497,2204/3353
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 756,2204
Least Common Multiple of Numerators i.e. LCM of 756,2204 is 416556.
GCF of Denominators means GCF of 497,3353 as per the given fractions.
GCF of 497,3353 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 756,2204
2 | 756, 2204 |
2 | 378, 1102 |
189, 551 |
∴ So the LCM of the given numbers is 2 x 2 x 189 x 551 = 416556
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 756,2204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,2204) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(756,2204) x common factors =4 x 1 = 4
LCM(756,2204) = ( 756 × 2204 ) / 4
LCM(756,2204) = 1666224 / 4
LCM(756,2204) = 416556
Lets's calculate GCF of 497,3353
7 | 497, 3353 |
71, 479 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 416556/7
Therefore the LCM of Fractions 756/497,2204/3353 is 59508
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Factors of 3353
List of positive integer factors of 3353 that divides 3353 without a remainder.
1,7,479,3353
Greatest Common Factor
We found the factors 497,3353 . The biggest common factor number is the GCF number.
So the greatest common factor 497,3353 is 7.
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 756/497, 2204/3353?
Answer: LCM of Numerators as per given numbers 756/497, 2204/3353 is
LCM of Numerators i.e. for 756,2204 is 416556
GCF of denominators i.e. for 497,3353 is 7.
Thus, LCM of Fractions is 59508.Finally, LCM of Fractions for 756/497, 2204/3353 is 59508.