Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7710/920, 2017/730 quickly i.e. 1555107 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7710/920, 2017/730 is 1555107.
LCM(7710/920, 2017/730) = 1555107
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7710/920,2017/730
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 7710,2017
Least Common Multiple of Numerators i.e. LCM of 7710,2017 is 15551070.
GCF of Denominators means GCF of 920,730 as per the given fractions.
GCF of 920,730 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7710,2017
Given numbers has no common factors except 1. So, there LCM is their product i.e 15551070
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 7710,2017 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7710,2017) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7710,2017) x common factors =1 x 1 = 1
LCM(7710,2017) = ( 7710 × 2017 ) / 1
LCM(7710,2017) = 15551070 / 1
LCM(7710,2017) = 15551070
Lets's calculate GCF of 920,730
2 | 920, 730 |
5 | 460, 365 |
92, 73 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15551070/10
Therefore the LCM of Fractions 7710/920,2017/730 is 1555107
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Greatest Common Factor
We found the factors 920,730 . The biggest common factor number is the GCF number.
So the greatest common factor 920,730 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 7710/920, 2017/730?
Answer: LCM of Numerators as per given numbers 7710/920, 2017/730 is
LCM of Numerators i.e. for 7710,2017 is 15551070
GCF of denominators i.e. for 920,730 is 10.
Thus, LCM of Fractions is 1555107.Finally, LCM of Fractions for 7710/920, 2017/730 is 1555107.