Know Least Common Multiple of fractions 1382/746, 2635/874 quickly i.e. 1820785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1382/746, 2635/874 is 1820785.
LCM(1382/746, 2635/874) = 1820785
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1382/746,2635/874
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 1382,2635
Least Common Multiple of Numerators i.e. LCM of 1382,2635 is 3641570.
GCF of Denominators means GCF of 746,874 as per the given fractions.
GCF of 746,874 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1382,2635
Given numbers has no common factors except 1. So, there LCM is their product i.e 3641570
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 1382,2635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1382,2635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1382,2635) x common factors =1 x 1 = 1
LCM(1382,2635) = ( 1382 × 2635 ) / 1
LCM(1382,2635) = 3641570 / 1
LCM(1382,2635) = 3641570
Lets's calculate GCF of 746,874
|2|| 746, 874 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3641570/2
Therefore the LCM of Fractions 1382/746,2635/874 is 1820785
Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
Greatest Common Factor
We found the factors 746,874 . The biggest common factor number is the GCF number.
So the greatest common factor 746,874 is 2.
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 1382/746, 2635/874?
Answer: LCM of Numerators as per given numbers 1382/746, 2635/874 is
LCM of Numerators i.e. for 1382,2635 is 3641570
GCF of denominators i.e. for 746,874 is 2.
Thus, LCM of Fractions is 1820785.Finally, LCM of Fractions for 1382/746, 2635/874 is 1820785.