Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/860, 49/455, 985/229 quickly i.e. 4247320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/860, 49/455, 985/229 is 4247320.
LCM(88/860, 49/455, 985/229) = 4247320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/860,49/455,985/229
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 88,49,985
Least Common Multiple of Numerators i.e. LCM of 88,49,985 is 4247320.
GCF of Denominators means GCF of 860,455,229 as per the given fractions.
GCF of 860,455,229 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,49,985
Given numbers has no common factors except 1. So, there LCM is their product i.e 4247320
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 88,49,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,49,985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,49,985) x common factors =1 x 1 = 1
LCM(88,49,985) = ( 88 × 49 × 985 ) / 1
LCM(88,49,985) = 4247320 / 1
LCM(88,49,985) = 4247320
Lets's calculate GCF of 860,455,229
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4247320/1
Therefore the LCM of Fractions 88/860,49/455,985/229 is 4247320
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Factors of 229
List of positive integer factors of 229 that divides 229 without a remainder.
1,229
Greatest Common Factor
We found the factors 860,455,229 . The biggest common factor number is the GCF number.
So the greatest common factor 860,455,229 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 88/860, 49/455, 985/229?
Answer: LCM of Numerators as per given numbers 88/860, 49/455, 985/229 is
LCM of Numerators i.e. for 88,49,985 is 4247320
GCF of denominators i.e. for 860,455,229 is 1.
Thus, LCM of Fractions is 4247320.Finally, LCM of Fractions for 88/860, 49/455, 985/229 is 4247320.