Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 857/184, 208/142, 735/751 quickly i.e. 131018160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 857/184, 208/142, 735/751 is 131018160.
LCM(857/184, 208/142, 735/751) = 131018160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 857/184,208/142,735/751
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 857,208,735
Least Common Multiple of Numerators i.e. LCM of 857,208,735 is 131018160.
GCF of Denominators means GCF of 184,142,751 as per the given fractions.
GCF of 184,142,751 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 857,208,735
Given numbers has no common factors except 1. So, there LCM is their product i.e 131018160
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 857,208,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,208,735) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,208,735) x common factors =1 x 1 = 1
LCM(857,208,735) = ( 857 × 208 × 735 ) / 1
LCM(857,208,735) = 131018160 / 1
LCM(857,208,735) = 131018160
Lets's calculate GCF of 184,142,751
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131018160/1
Therefore the LCM of Fractions 857/184,208/142,735/751 is 131018160
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Factors of 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
Greatest Common Factor
We found the factors 184,142,751 . The biggest common factor number is the GCF number.
So the greatest common factor 184,142,751 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 857/184, 208/142, 735/751?
Answer: LCM of Numerators as per given numbers 857/184, 208/142, 735/751 is
LCM of Numerators i.e. for 857,208,735 is 131018160
GCF of denominators i.e. for 184,142,751 is 1.
Thus, LCM of Fractions is 131018160.Finally, LCM of Fractions for 857/184, 208/142, 735/751 is 131018160.