Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 908/694, 3485/574 quickly i.e. 1582190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 908/694, 3485/574 is 1582190.
LCM(908/694, 3485/574) = 1582190
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 908/694,3485/574
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 908,3485
Least Common Multiple of Numerators i.e. LCM of 908,3485 is 3164380.
GCF of Denominators means GCF of 694,574 as per the given fractions.
GCF of 694,574 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 908,3485
Given numbers has no common factors except 1. So, there LCM is their product i.e 3164380
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 908,3485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,3485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(908,3485) x common factors =1 x 1 = 1
LCM(908,3485) = ( 908 × 3485 ) / 1
LCM(908,3485) = 3164380 / 1
LCM(908,3485) = 3164380
Lets's calculate GCF of 694,574
2 | 694, 574 |
347, 287 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3164380/2
Therefore the LCM of Fractions 908/694,3485/574 is 1582190
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 694,574 . The biggest common factor number is the GCF number.
So the greatest common factor 694,574 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 908/694, 3485/574?
Answer: LCM of Numerators as per given numbers 908/694, 3485/574 is
LCM of Numerators i.e. for 908,3485 is 3164380
GCF of denominators i.e. for 694,574 is 2.
Thus, LCM of Fractions is 1582190.Finally, LCM of Fractions for 908/694, 3485/574 is 1582190.