Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 560/273, 503/616, 787/833 quickly i.e. 31668880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 560/273, 503/616, 787/833 is 31668880.
LCM(560/273, 503/616, 787/833) = 31668880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 560/273,503/616,787/833
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 560,503,787
Least Common Multiple of Numerators i.e. LCM of 560,503,787 is 221682160.
GCF of Denominators means GCF of 273,616,833 as per the given fractions.
GCF of 273,616,833 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 560,503,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 221682160
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 560,503,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,503,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(560,503,787) x common factors =1 x 1 = 1
LCM(560,503,787) = ( 560 × 503 × 787 ) / 1
LCM(560,503,787) = 221682160 / 1
LCM(560,503,787) = 221682160
Lets's calculate GCF of 273,616,833
7 | 273, 616, 833 |
39, 88, 119 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221682160/7
Therefore the LCM of Fractions 560/273,503/616,787/833 is 31668880
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Greatest Common Factor
We found the factors 273,616,833 . The biggest common factor number is the GCF number.
So the greatest common factor 273,616,833 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 560/273, 503/616, 787/833?
Answer: LCM of Numerators as per given numbers 560/273, 503/616, 787/833 is
LCM of Numerators i.e. for 560,503,787 is 221682160
GCF of denominators i.e. for 273,616,833 is 7.
Thus, LCM of Fractions is 31668880.Finally, LCM of Fractions for 560/273, 503/616, 787/833 is 31668880.