Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 988/690, 751/601, 289/700 quickly i.e. 214434532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 988/690, 751/601, 289/700 is 214434532.
LCM(988/690, 751/601, 289/700) = 214434532
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 988/690,751/601,289/700
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 988,751,289
Least Common Multiple of Numerators i.e. LCM of 988,751,289 is 214434532.
GCF of Denominators means GCF of 690,601,700 as per the given fractions.
GCF of 690,601,700 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 988,751,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 214434532
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 988,751,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,751,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(988,751,289) x common factors =1 x 1 = 1
LCM(988,751,289) = ( 988 × 751 × 289 ) / 1
LCM(988,751,289) = 214434532 / 1
LCM(988,751,289) = 214434532
Lets's calculate GCF of 690,601,700
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214434532/1
Therefore the LCM of Fractions 988/690,751/601,289/700 is 214434532
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Factors of 700
List of positive integer factors of 700 that divides 700 without a remainder.
1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Greatest Common Factor
We found the factors 690,601,700 . The biggest common factor number is the GCF number.
So the greatest common factor 690,601,700 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 988/690, 751/601, 289/700?
Answer: LCM of Numerators as per given numbers 988/690, 751/601, 289/700 is
LCM of Numerators i.e. for 988,751,289 is 214434532
GCF of denominators i.e. for 690,601,700 is 1.
Thus, LCM of Fractions is 214434532.Finally, LCM of Fractions for 988/690, 751/601, 289/700 is 214434532.