Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 889/535, 2410/283 quickly i.e. 2142490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 889/535, 2410/283 is 2142490.
LCM(889/535, 2410/283) = 2142490
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 889/535,2410/283
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 889,2410
Least Common Multiple of Numerators i.e. LCM of 889,2410 is 2142490.
GCF of Denominators means GCF of 535,283 as per the given fractions.
GCF of 535,283 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 889,2410
Given numbers has no common factors except 1. So, there LCM is their product i.e 2142490
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 889,2410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,2410) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,2410) x common factors =1 x 1 = 1
LCM(889,2410) = ( 889 × 2410 ) / 1
LCM(889,2410) = 2142490 / 1
LCM(889,2410) = 2142490
Lets's calculate GCF of 535,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2142490/1
Therefore the LCM of Fractions 889/535,2410/283 is 2142490
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Greatest Common Factor
We found the factors 535,283 . The biggest common factor number is the GCF number.
So the greatest common factor 535,283 is 1.
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 889/535, 2410/283?
Answer: LCM of Numerators as per given numbers 889/535, 2410/283 is
LCM of Numerators i.e. for 889,2410 is 2142490
GCF of denominators i.e. for 535,283 is 1.
Thus, LCM of Fractions is 2142490.Finally, LCM of Fractions for 889/535, 2410/283 is 2142490.