Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1357/951, 6110/608 quickly i.e. 8291270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1357/951, 6110/608 is 8291270.
LCM(1357/951, 6110/608) = 8291270
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1357/951,6110/608
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 1357,6110
Least Common Multiple of Numerators i.e. LCM of 1357,6110 is 8291270.
GCF of Denominators means GCF of 951,608 as per the given fractions.
GCF of 951,608 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1357,6110
Given numbers has no common factors except 1. So, there LCM is their product i.e 8291270
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 1357,6110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1357,6110) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1357,6110) x common factors =1 x 1 = 1
LCM(1357,6110) = ( 1357 × 6110 ) / 1
LCM(1357,6110) = 8291270 / 1
LCM(1357,6110) = 8291270
Lets's calculate GCF of 951,608
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8291270/1
Therefore the LCM of Fractions 1357/951,6110/608 is 8291270
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Greatest Common Factor
We found the factors 951,608 . The biggest common factor number is the GCF number.
So the greatest common factor 951,608 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 1357/951, 6110/608?
Answer: LCM of Numerators as per given numbers 1357/951, 6110/608 is
LCM of Numerators i.e. for 1357,6110 is 8291270
GCF of denominators i.e. for 951,608 is 1.
Thus, LCM of Fractions is 8291270.Finally, LCM of Fractions for 1357/951, 6110/608 is 8291270.