Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/740, 676/342, 456/284 quickly i.e. 192660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/740, 676/342, 456/284 is 192660.
LCM(20/740, 676/342, 456/284) = 192660
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/740,676/342,456/284
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 20,676,456
Least Common Multiple of Numerators i.e. LCM of 20,676,456 is 385320.
GCF of Denominators means GCF of 740,342,284 as per the given fractions.
GCF of 740,342,284 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,676,456
2 | 20, 676, 456 |
2 | 10, 338, 228 |
5, 169, 114 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 169 x 114 = 385320
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 20,676,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,676,456) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(20,676,456) x common factors =4 x 4 = 16
LCM(20,676,456) = ( 20 × 676 × 456 ) / 16
LCM(20,676,456) = 6165120 / 16
LCM(20,676,456) = 385320
Lets's calculate GCF of 740,342,284
2 | 740, 342, 284 |
370, 171, 142 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 385320/2
Therefore the LCM of Fractions 20/740,676/342,456/284 is 192660
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Greatest Common Factor
We found the factors 740,342,284 . The biggest common factor number is the GCF number.
So the greatest common factor 740,342,284 is 2.
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 20/740, 676/342, 456/284?
Answer: LCM of Numerators as per given numbers 20/740, 676/342, 456/284 is
LCM of Numerators i.e. for 20,676,456 is 385320
GCF of denominators i.e. for 740,342,284 is 2.
Thus, LCM of Fractions is 192660.Finally, LCM of Fractions for 20/740, 676/342, 456/284 is 192660.