Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/886, 433/778, 138/143 quickly i.e. 1852374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/886, 433/778, 138/143 is 1852374.
LCM(62/886, 433/778, 138/143) = 1852374
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/886,433/778,138/143
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 62,433,138
Least Common Multiple of Numerators i.e. LCM of 62,433,138 is 1852374.
GCF of Denominators means GCF of 886,778,143 as per the given fractions.
GCF of 886,778,143 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,433,138
2 | 62, 433, 138 |
31, 433, 69 |
∴ So the LCM of the given numbers is 2 x 31 x 433 x 69 = 1852374
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 62,433,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,433,138) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,433,138) x common factors =1 x 2 = 2
LCM(62,433,138) = ( 62 × 433 × 138 ) / 2
LCM(62,433,138) = 3704748 / 2
LCM(62,433,138) = 1852374
Lets's calculate GCF of 886,778,143
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1852374/1
Therefore the LCM of Fractions 62/886,433/778,138/143 is 1852374
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Greatest Common Factor
We found the factors 886,778,143 . The biggest common factor number is the GCF number.
So the greatest common factor 886,778,143 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 62/886, 433/778, 138/143?
Answer: LCM of Numerators as per given numbers 62/886, 433/778, 138/143 is
LCM of Numerators i.e. for 62,433,138 is 1852374
GCF of denominators i.e. for 886,778,143 is 1.
Thus, LCM of Fractions is 1852374.Finally, LCM of Fractions for 62/886, 433/778, 138/143 is 1852374.