Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 970/777, 6740/316 quickly i.e. 653780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 970/777, 6740/316 is 653780.
LCM(970/777, 6740/316) = 653780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 970/777,6740/316
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 970,6740
Least Common Multiple of Numerators i.e. LCM of 970,6740 is 653780.
GCF of Denominators means GCF of 777,316 as per the given fractions.
GCF of 777,316 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 970,6740
2 | 970, 6740 |
5 | 485, 3370 |
97, 674 |
∴ So the LCM of the given numbers is 2 x 5 x 97 x 674 = 653780
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 970,6740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,6740) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(970,6740) x common factors =10 x 1 = 10
LCM(970,6740) = ( 970 × 6740 ) / 10
LCM(970,6740) = 6537800 / 10
LCM(970,6740) = 653780
Lets's calculate GCF of 777,316
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 653780/1
Therefore the LCM of Fractions 970/777,6740/316 is 653780
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Greatest Common Factor
We found the factors 777,316 . The biggest common factor number is the GCF number.
So the greatest common factor 777,316 is 1.
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 970/777, 6740/316?
Answer: LCM of Numerators as per given numbers 970/777, 6740/316 is
LCM of Numerators i.e. for 970,6740 is 653780
GCF of denominators i.e. for 777,316 is 1.
Thus, LCM of Fractions is 653780.Finally, LCM of Fractions for 970/777, 6740/316 is 653780.