Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 673/848, 2580/824 quickly i.e. 1736340/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 673/848, 2580/824 is 1736340/8.
LCM(673/848, 2580/824) = 1736340/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 673/848,2580/824
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 673,2580
Least Common Multiple of Numerators i.e. LCM of 673,2580 is 1736340.
GCF of Denominators means GCF of 848,824 as per the given fractions.
GCF of 848,824 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 673,2580
Given numbers has no common factors except 1. So, there LCM is their product i.e 1736340
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 673,2580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,2580) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,2580) x common factors =1 x 1 = 1
LCM(673,2580) = ( 673 × 2580 ) / 1
LCM(673,2580) = 1736340 / 1
LCM(673,2580) = 1736340
Lets's calculate GCF of 848,824
2 | 848, 824 |
2 | 424, 412 |
2 | 212, 206 |
106, 103 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1736340/8
Therefore the LCM of Fractions 673/848,2580/824 is 1736340/8
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Greatest Common Factor
We found the factors 848,824 . The biggest common factor number is the GCF number.
So the greatest common factor 848,824 is 8.
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 673/848, 2580/824?
Answer: LCM of Numerators as per given numbers 673/848, 2580/824 is
LCM of Numerators i.e. for 673,2580 is 1736340
GCF of denominators i.e. for 848,824 is 8.
Thus, LCM of Fractions is 1736340/8.Finally, LCM of Fractions for 673/848, 2580/824 is 1736340/8.