Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/710, 30/560 quickly i.e. 114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/710, 30/560 is 114.
LCM(76/710, 30/560) = 114
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/710,30/560
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 76,30
Least Common Multiple of Numerators i.e. LCM of 76,30 is 1140.
GCF of Denominators means GCF of 710,560 as per the given fractions.
GCF of 710,560 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,30
2 | 76, 30 |
38, 15 |
∴ So the LCM of the given numbers is 2 x 38 x 15 = 1140
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 76,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,30) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(76,30) x common factors =2 x 1 = 2
LCM(76,30) = ( 76 × 30 ) / 2
LCM(76,30) = 2280 / 2
LCM(76,30) = 1140
Lets's calculate GCF of 710,560
2 | 710, 560 |
5 | 355, 280 |
71, 56 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1140/10
Therefore the LCM of Fractions 76/710,30/560 is 114
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 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Greatest Common Factor
We found the factors 710,560 . The biggest common factor number is the GCF number.
So the greatest common factor 710,560 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 76/710, 30/560?
Answer: LCM of Numerators as per given numbers 76/710, 30/560 is
LCM of Numerators i.e. for 76,30 is 1140
GCF of denominators i.e. for 710,560 is 10.
Thus, LCM of Fractions is 114.Finally, LCM of Fractions for 76/710, 30/560 is 114.