Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 902/360, 119/529, 565/188 quickly i.e. 60645970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 902/360, 119/529, 565/188 is 60645970.
LCM(902/360, 119/529, 565/188) = 60645970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 902/360,119/529,565/188
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 902,119,565
Least Common Multiple of Numerators i.e. LCM of 902,119,565 is 60645970.
GCF of Denominators means GCF of 360,529,188 as per the given fractions.
GCF of 360,529,188 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 902,119,565
Given numbers has no common factors except 1. So, there LCM is their product i.e 60645970
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 902,119,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,119,565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(902,119,565) x common factors =1 x 1 = 1
LCM(902,119,565) = ( 902 × 119 × 565 ) / 1
LCM(902,119,565) = 60645970 / 1
LCM(902,119,565) = 60645970
Lets's calculate GCF of 360,529,188
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60645970/1
Therefore the LCM of Fractions 902/360,119/529,565/188 is 60645970
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Greatest Common Factor
We found the factors 360,529,188 . The biggest common factor number is the GCF number.
So the greatest common factor 360,529,188 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 902/360, 119/529, 565/188?
Answer: LCM of Numerators as per given numbers 902/360, 119/529, 565/188 is
LCM of Numerators i.e. for 902,119,565 is 60645970
GCF of denominators i.e. for 360,529,188 is 1.
Thus, LCM of Fractions is 60645970.Finally, LCM of Fractions for 902/360, 119/529, 565/188 is 60645970.