Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/560, 887/256, 349/125 quickly i.e. 27241544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/560, 887/256, 349/125 is 27241544.
LCM(88/560, 887/256, 349/125) = 27241544
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/560,887/256,349/125
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 88,887,349
Least Common Multiple of Numerators i.e. LCM of 88,887,349 is 27241544.
GCF of Denominators means GCF of 560,256,125 as per the given fractions.
GCF of 560,256,125 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,887,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 27241544
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 88,887,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,887,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,887,349) x common factors =1 x 1 = 1
LCM(88,887,349) = ( 88 × 887 × 349 ) / 1
LCM(88,887,349) = 27241544 / 1
LCM(88,887,349) = 27241544
Lets's calculate GCF of 560,256,125
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27241544/1
Therefore the LCM of Fractions 88/560,887/256,349/125 is 27241544
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Greatest Common Factor
We found the factors 560,256,125 . The biggest common factor number is the GCF number.
So the greatest common factor 560,256,125 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 88/560, 887/256, 349/125?
Answer: LCM of Numerators as per given numbers 88/560, 887/256, 349/125 is
LCM of Numerators i.e. for 88,887,349 is 27241544
GCF of denominators i.e. for 560,256,125 is 1.
Thus, LCM of Fractions is 27241544.Finally, LCM of Fractions for 88/560, 887/256, 349/125 is 27241544.