Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/95, 70/635, 677/945 quickly i.e. 919366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/95, 70/635, 677/945 is 919366.
LCM(97/95, 70/635, 677/945) = 919366
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/95,70/635,677/945
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 97,70,677
Least Common Multiple of Numerators i.e. LCM of 97,70,677 is 4596830.
GCF of Denominators means GCF of 95,635,945 as per the given fractions.
GCF of 95,635,945 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,70,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 4596830
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 97,70,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,70,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,70,677) x common factors =1 x 1 = 1
LCM(97,70,677) = ( 97 × 70 × 677 ) / 1
LCM(97,70,677) = 4596830 / 1
LCM(97,70,677) = 4596830
Lets's calculate GCF of 95,635,945
5 | 95, 635, 945 |
19, 127, 189 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4596830/5
Therefore the LCM of Fractions 97/95,70/635,677/945 is 919366
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 95,635,945 . The biggest common factor number is the GCF number.
So the greatest common factor 95,635,945 is 5.
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 97/95, 70/635, 677/945?
Answer: LCM of Numerators as per given numbers 97/95, 70/635, 677/945 is
LCM of Numerators i.e. for 97,70,677 is 4596830
GCF of denominators i.e. for 95,635,945 is 5.
Thus, LCM of Fractions is 919366.Finally, LCM of Fractions for 97/95, 70/635, 677/945 is 919366.