Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 887/92, 164/12, 658/138 quickly i.e. 23929486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 887/92, 164/12, 658/138 is 23929486.
LCM(887/92, 164/12, 658/138) = 23929486
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 887/92,164/12,658/138
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 887,164,658
Least Common Multiple of Numerators i.e. LCM of 887,164,658 is 47858972.
GCF of Denominators means GCF of 92,12,138 as per the given fractions.
GCF of 92,12,138 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 887,164,658
2 | 887, 164, 658 |
887, 82, 329 |
∴ So the LCM of the given numbers is 2 x 887 x 82 x 329 = 47858972
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 887,164,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,164,658) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(887,164,658) x common factors =1 x 2 = 2
LCM(887,164,658) = ( 887 × 164 × 658 ) / 2
LCM(887,164,658) = 95717944 / 2
LCM(887,164,658) = 47858972
Lets's calculate GCF of 92,12,138
2 | 92, 12, 138 |
46, 6, 69 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47858972/2
Therefore the LCM of Fractions 887/92,164/12,658/138 is 23929486
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Greatest Common Factor
We found the factors 92,12,138 . The biggest common factor number is the GCF number.
So the greatest common factor 92,12,138 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 887/92, 164/12, 658/138?
Answer: LCM of Numerators as per given numbers 887/92, 164/12, 658/138 is
LCM of Numerators i.e. for 887,164,658 is 47858972
GCF of denominators i.e. for 92,12,138 is 2.
Thus, LCM of Fractions is 23929486.Finally, LCM of Fractions for 887/92, 164/12, 658/138 is 23929486.