Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/125, 872/587, 807/618 quickly i.e. 2111112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/125, 872/587, 807/618 is 2111112.
LCM(72/125, 872/587, 807/618) = 2111112
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/125,872/587,807/618
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 72,872,807
Least Common Multiple of Numerators i.e. LCM of 72,872,807 is 2111112.
GCF of Denominators means GCF of 125,587,618 as per the given fractions.
GCF of 125,587,618 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,872,807
2 | 72, 872, 807 |
2 | 36, 436, 807 |
2 | 18, 218, 807 |
3 | 9, 109, 807 |
3, 109, 269 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 109 x 269 = 2111112
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 72,872,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,872,807) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(72,872,807) x common factors =1 x 24 = 24
LCM(72,872,807) = ( 72 × 872 × 807 ) / 24
LCM(72,872,807) = 50666688 / 24
LCM(72,872,807) = 2111112
Lets's calculate GCF of 125,587,618
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2111112/1
Therefore the LCM of Fractions 72/125,872/587,807/618 is 2111112
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Greatest Common Factor
We found the factors 125,587,618 . The biggest common factor number is the GCF number.
So the greatest common factor 125,587,618 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 72/125, 872/587, 807/618?
Answer: LCM of Numerators as per given numbers 72/125, 872/587, 807/618 is
LCM of Numerators i.e. for 72,872,807 is 2111112
GCF of denominators i.e. for 125,587,618 is 1.
Thus, LCM of Fractions is 2111112.Finally, LCM of Fractions for 72/125, 872/587, 807/618 is 2111112.