Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 560/946, 1597/202 quickly i.e. 447160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 560/946, 1597/202 is 447160.
LCM(560/946, 1597/202) = 447160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 560/946,1597/202
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 560,1597
Least Common Multiple of Numerators i.e. LCM of 560,1597 is 894320.
GCF of Denominators means GCF of 946,202 as per the given fractions.
GCF of 946,202 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 560,1597
Given numbers has no common factors except 1. So, there LCM is their product i.e 894320
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 560,1597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,1597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(560,1597) x common factors =1 x 1 = 1
LCM(560,1597) = ( 560 × 1597 ) / 1
LCM(560,1597) = 894320 / 1
LCM(560,1597) = 894320
Lets's calculate GCF of 946,202
2 | 946, 202 |
473, 101 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 894320/2
Therefore the LCM of Fractions 560/946,1597/202 is 447160
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Greatest Common Factor
We found the factors 946,202 . The biggest common factor number is the GCF number.
So the greatest common factor 946,202 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 560/946, 1597/202?
Answer: LCM of Numerators as per given numbers 560/946, 1597/202 is
LCM of Numerators i.e. for 560,1597 is 894320
GCF of denominators i.e. for 946,202 is 2.
Thus, LCM of Fractions is 447160.Finally, LCM of Fractions for 560/946, 1597/202 is 447160.