Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 680/196, 7657/272 quickly i.e. 1301690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 680/196, 7657/272 is 1301690.
LCM(680/196, 7657/272) = 1301690
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 680/196,7657/272
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 680,7657
Least Common Multiple of Numerators i.e. LCM of 680,7657 is 5206760.
GCF of Denominators means GCF of 196,272 as per the given fractions.
GCF of 196,272 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 680,7657
Given numbers has no common factors except 1. So, there LCM is their product i.e 5206760
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 680,7657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,7657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(680,7657) x common factors =1 x 1 = 1
LCM(680,7657) = ( 680 × 7657 ) / 1
LCM(680,7657) = 5206760 / 1
LCM(680,7657) = 5206760
Lets's calculate GCF of 196,272
2 | 196, 272 |
2 | 98, 136 |
49, 68 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5206760/4
Therefore the LCM of Fractions 680/196,7657/272 is 1301690
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Factors of 272
List of positive integer factors of 272 that divides 272 without a remainder.
1,2,4,8,16,17,34,68,136,272
Greatest Common Factor
We found the factors 196,272 . The biggest common factor number is the GCF number.
So the greatest common factor 196,272 is 4.
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 680/196, 7657/272?
Answer: LCM of Numerators as per given numbers 680/196, 7657/272 is
LCM of Numerators i.e. for 680,7657 is 5206760
GCF of denominators i.e. for 196,272 is 4.
Thus, LCM of Fractions is 1301690.Finally, LCM of Fractions for 680/196, 7657/272 is 1301690.