Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2050/710, 7787/230 quickly i.e. 1596335 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2050/710, 7787/230 is 1596335.
LCM(2050/710, 7787/230) = 1596335
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2050/710,7787/230
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 2050,7787
Least Common Multiple of Numerators i.e. LCM of 2050,7787 is 15963350.
GCF of Denominators means GCF of 710,230 as per the given fractions.
GCF of 710,230 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2050,7787
Given numbers has no common factors except 1. So, there LCM is their product i.e 15963350
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 2050,7787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2050,7787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2050,7787) x common factors =1 x 1 = 1
LCM(2050,7787) = ( 2050 × 7787 ) / 1
LCM(2050,7787) = 15963350 / 1
LCM(2050,7787) = 15963350
Lets's calculate GCF of 710,230
2 | 710, 230 |
5 | 355, 115 |
71, 23 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15963350/10
Therefore the LCM of Fractions 2050/710,7787/230 is 1596335
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Greatest Common Factor
We found the factors 710,230 . The biggest common factor number is the GCF number.
So the greatest common factor 710,230 is 10.
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 2050/710, 7787/230?
Answer: LCM of Numerators as per given numbers 2050/710, 7787/230 is
LCM of Numerators i.e. for 2050,7787 is 15963350
GCF of denominators i.e. for 710,230 is 10.
Thus, LCM of Fractions is 1596335.Finally, LCM of Fractions for 2050/710, 7787/230 is 1596335.