Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/770, 89/627 quickly i.e. 8366/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/770, 89/627 is 8366/11.
LCM(94/770, 89/627) = 8366/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/770,89/627
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 94,89
Least Common Multiple of Numerators i.e. LCM of 94,89 is 8366.
GCF of Denominators means GCF of 770,627 as per the given fractions.
GCF of 770,627 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,89
Given numbers has no common factors except 1. So, there LCM is their product i.e 8366
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 94,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,89) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,89) x common factors =1 x 1 = 1
LCM(94,89) = ( 94 × 89 ) / 1
LCM(94,89) = 8366 / 1
LCM(94,89) = 8366
Lets's calculate GCF of 770,627
11 | 770, 627 |
70, 57 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8366/11
Therefore the LCM of Fractions 94/770,89/627 is 8366/11
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Greatest Common Factor
We found the factors 770,627 . The biggest common factor number is the GCF number.
So the greatest common factor 770,627 is 11.
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 94/770, 89/627?
Answer: LCM of Numerators as per given numbers 94/770, 89/627 is
LCM of Numerators i.e. for 94,89 is 8366
GCF of denominators i.e. for 770,627 is 11.
Thus, LCM of Fractions is 8366/11.Finally, LCM of Fractions for 94/770, 89/627 is 8366/11.