Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/902, 89/722, 437/160 quickly i.e. 1089004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/902, 89/722, 437/160 is 1089004.
LCM(56/902, 89/722, 437/160) = 1089004
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/902,89/722,437/160
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 56,89,437
Least Common Multiple of Numerators i.e. LCM of 56,89,437 is 2178008.
GCF of Denominators means GCF of 902,722,160 as per the given fractions.
GCF of 902,722,160 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,89,437
Given numbers has no common factors except 1. So, there LCM is their product i.e 2178008
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 56,89,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,89,437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,89,437) x common factors =1 x 1 = 1
LCM(56,89,437) = ( 56 × 89 × 437 ) / 1
LCM(56,89,437) = 2178008 / 1
LCM(56,89,437) = 2178008
Lets's calculate GCF of 902,722,160
2 | 902, 722, 160 |
451, 361, 80 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2178008/2
Therefore the LCM of Fractions 56/902,89/722,437/160 is 1089004
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 902,722,160 . The biggest common factor number is the GCF number.
So the greatest common factor 902,722,160 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 56/902, 89/722, 437/160?
Answer: LCM of Numerators as per given numbers 56/902, 89/722, 437/160 is
LCM of Numerators i.e. for 56,89,437 is 2178008
GCF of denominators i.e. for 902,722,160 is 2.
Thus, LCM of Fractions is 1089004.Finally, LCM of Fractions for 56/902, 89/722, 437/160 is 1089004.