Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 630/187, 956/220 quickly i.e. 301140/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 630/187, 956/220 is 301140/11.
LCM(630/187, 956/220) = 301140/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 630/187,956/220
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 630,956
Least Common Multiple of Numerators i.e. LCM of 630,956 is 301140.
GCF of Denominators means GCF of 187,220 as per the given fractions.
GCF of 187,220 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 630,956
2 | 630, 956 |
315, 478 |
∴ So the LCM of the given numbers is 2 x 315 x 478 = 301140
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 630,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,956) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(630,956) x common factors =2 x 1 = 2
LCM(630,956) = ( 630 × 956 ) / 2
LCM(630,956) = 602280 / 2
LCM(630,956) = 301140
Lets's calculate GCF of 187,220
11 | 187, 220 |
17, 20 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 301140/11
Therefore the LCM of Fractions 630/187,956/220 is 301140/11
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 187,220 . The biggest common factor number is the GCF number.
So the greatest common factor 187,220 is 11.
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 630/187, 956/220?
Answer: LCM of Numerators as per given numbers 630/187, 956/220 is
LCM of Numerators i.e. for 630,956 is 301140
GCF of denominators i.e. for 187,220 is 11.
Thus, LCM of Fractions is 301140/11.Finally, LCM of Fractions for 630/187, 956/220 is 301140/11.