Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/511, 316/894, 279/212 quickly i.e. 88164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/511, 316/894, 279/212 is 88164.
LCM(62/511, 316/894, 279/212) = 88164
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/511,316/894,279/212
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 62,316,279
Least Common Multiple of Numerators i.e. LCM of 62,316,279 is 88164.
GCF of Denominators means GCF of 511,894,212 as per the given fractions.
GCF of 511,894,212 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,316,279
2 | 62, 316, 279 |
31 | 31, 158, 279 |
1, 158, 9 |
∴ So the LCM of the given numbers is 2 x 31 x 1 x 158 x 9 = 88164
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 62,316,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,316,279) = 1
common factors(in case of two or more numbers have common factors) = 62
GCF(62,316,279) x common factors =1 x 62 = 62
LCM(62,316,279) = ( 62 × 316 × 279 ) / 62
LCM(62,316,279) = 5466168 / 62
LCM(62,316,279) = 88164
Lets's calculate GCF of 511,894,212
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88164/1
Therefore the LCM of Fractions 62/511,316/894,279/212 is 88164
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Greatest Common Factor
We found the factors 511,894,212 . The biggest common factor number is the GCF number.
So the greatest common factor 511,894,212 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 62/511, 316/894, 279/212?
Answer: LCM of Numerators as per given numbers 62/511, 316/894, 279/212 is
LCM of Numerators i.e. for 62,316,279 is 88164
GCF of denominators i.e. for 511,894,212 is 1.
Thus, LCM of Fractions is 88164.Finally, LCM of Fractions for 62/511, 316/894, 279/212 is 88164.