Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/798, 677/882, 242/572 quickly i.e. 7454447 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/798, 677/882, 242/572 is 7454447.
LCM(91/798, 677/882, 242/572) = 7454447
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/798,677/882,242/572
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 91,677,242
Least Common Multiple of Numerators i.e. LCM of 91,677,242 is 14908894.
GCF of Denominators means GCF of 798,882,572 as per the given fractions.
GCF of 798,882,572 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,677,242
Given numbers has no common factors except 1. So, there LCM is their product i.e 14908894
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 91,677,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,677,242) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,677,242) x common factors =1 x 1 = 1
LCM(91,677,242) = ( 91 × 677 × 242 ) / 1
LCM(91,677,242) = 14908894 / 1
LCM(91,677,242) = 14908894
Lets's calculate GCF of 798,882,572
2 | 798, 882, 572 |
399, 441, 286 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14908894/2
Therefore the LCM of Fractions 91/798,677/882,242/572 is 7454447
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 798,882,572 . The biggest common factor number is the GCF number.
So the greatest common factor 798,882,572 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 91/798, 677/882, 242/572?
Answer: LCM of Numerators as per given numbers 91/798, 677/882, 242/572 is
LCM of Numerators i.e. for 91,677,242 is 14908894
GCF of denominators i.e. for 798,882,572 is 2.
Thus, LCM of Fractions is 7454447.Finally, LCM of Fractions for 91/798, 677/882, 242/572 is 7454447.