Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/740, 95/196, 179/595 quickly i.e. 1496440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/740, 95/196, 179/595 is 1496440.
LCM(88/740, 95/196, 179/595) = 1496440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/740,95/196,179/595
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 88,95,179
Least Common Multiple of Numerators i.e. LCM of 88,95,179 is 1496440.
GCF of Denominators means GCF of 740,196,595 as per the given fractions.
GCF of 740,196,595 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,95,179
Given numbers has no common factors except 1. So, there LCM is their product i.e 1496440
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 88,95,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,95,179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,95,179) x common factors =1 x 1 = 1
LCM(88,95,179) = ( 88 × 95 × 179 ) / 1
LCM(88,95,179) = 1496440 / 1
LCM(88,95,179) = 1496440
Lets's calculate GCF of 740,196,595
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1496440/1
Therefore the LCM of Fractions 88/740,95/196,179/595 is 1496440
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Greatest Common Factor
We found the factors 740,196,595 . The biggest common factor number is the GCF number.
So the greatest common factor 740,196,595 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 88/740, 95/196, 179/595?
Answer: LCM of Numerators as per given numbers 88/740, 95/196, 179/595 is
LCM of Numerators i.e. for 88,95,179 is 1496440
GCF of denominators i.e. for 740,196,595 is 1.
Thus, LCM of Fractions is 1496440.Finally, LCM of Fractions for 88/740, 95/196, 179/595 is 1496440.