Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/970, 65/643, 672/882 quickly i.e. 1354080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/970, 65/643, 672/882 is 1354080.
LCM(62/970, 65/643, 672/882) = 1354080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/970,65/643,672/882
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 62,65,672
Least Common Multiple of Numerators i.e. LCM of 62,65,672 is 1354080.
GCF of Denominators means GCF of 970,643,882 as per the given fractions.
GCF of 970,643,882 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,65,672
2 | 62, 65, 672 |
31, 65, 336 |
∴ So the LCM of the given numbers is 2 x 31 x 65 x 336 = 1354080
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 62,65,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,65,672) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,65,672) x common factors =1 x 2 = 2
LCM(62,65,672) = ( 62 × 65 × 672 ) / 2
LCM(62,65,672) = 2708160 / 2
LCM(62,65,672) = 1354080
Lets's calculate GCF of 970,643,882
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1354080/1
Therefore the LCM of Fractions 62/970,65/643,672/882 is 1354080
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Factors of 643
List of positive integer factors of 643 that divides 643 without a remainder.
1,643
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors 970,643,882 . The biggest common factor number is the GCF number.
So the greatest common factor 970,643,882 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 62/970, 65/643, 672/882?
Answer: LCM of Numerators as per given numbers 62/970, 65/643, 672/882 is
LCM of Numerators i.e. for 62,65,672 is 1354080
GCF of denominators i.e. for 970,643,882 is 1.
Thus, LCM of Fractions is 1354080.Finally, LCM of Fractions for 62/970, 65/643, 672/882 is 1354080.