Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 970/63, 795/4721 quickly i.e. 154230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 970/63, 795/4721 is 154230.
LCM(970/63, 795/4721) = 154230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 970/63,795/4721
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 970,795
Least Common Multiple of Numerators i.e. LCM of 970,795 is 154230.
GCF of Denominators means GCF of 63,4721 as per the given fractions.
GCF of 63,4721 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 970,795
5 | 970, 795 |
194, 159 |
∴ So the LCM of the given numbers is 5 x 194 x 159 = 154230
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 970,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,795) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(970,795) x common factors =5 x 1 = 5
LCM(970,795) = ( 970 × 795 ) / 5
LCM(970,795) = 771150 / 5
LCM(970,795) = 154230
Lets's calculate GCF of 63,4721
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154230/1
Therefore the LCM of Fractions 970/63,795/4721 is 154230
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 4721
List of positive integer factors of 4721 that divides 4721 without a remainder.
1,4721
Greatest Common Factor
We found the factors 63,4721 . The biggest common factor number is the GCF number.
So the greatest common factor 63,4721 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 970/63, 795/4721?
Answer: LCM of Numerators as per given numbers 970/63, 795/4721 is
LCM of Numerators i.e. for 970,795 is 154230
GCF of denominators i.e. for 63,4721 is 1.
Thus, LCM of Fractions is 154230.Finally, LCM of Fractions for 970/63, 795/4721 is 154230.