Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 142/92, 301/86, 125/608 quickly i.e. 2671375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 142/92, 301/86, 125/608 is 2671375.
LCM(142/92, 301/86, 125/608) = 2671375
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 142/92,301/86,125/608
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 142,301,125
Least Common Multiple of Numerators i.e. LCM of 142,301,125 is 5342750.
GCF of Denominators means GCF of 92,86,608 as per the given fractions.
GCF of 92,86,608 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 142,301,125
Given numbers has no common factors except 1. So, there LCM is their product i.e 5342750
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 142,301,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,301,125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(142,301,125) x common factors =1 x 1 = 1
LCM(142,301,125) = ( 142 × 301 × 125 ) / 1
LCM(142,301,125) = 5342750 / 1
LCM(142,301,125) = 5342750
Lets's calculate GCF of 92,86,608
2 | 92, 86, 608 |
46, 43, 304 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5342750/2
Therefore the LCM of Fractions 142/92,301/86,125/608 is 2671375
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Greatest Common Factor
We found the factors 92,86,608 . The biggest common factor number is the GCF number.
So the greatest common factor 92,86,608 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 142/92, 301/86, 125/608?
Answer: LCM of Numerators as per given numbers 142/92, 301/86, 125/608 is
LCM of Numerators i.e. for 142,301,125 is 5342750
GCF of denominators i.e. for 92,86,608 is 2.
Thus, LCM of Fractions is 2671375.Finally, LCM of Fractions for 142/92, 301/86, 125/608 is 2671375.