Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 688/478, 925/312, 291/220 quickly i.e. 92596200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 688/478, 925/312, 291/220 is 92596200.
LCM(688/478, 925/312, 291/220) = 92596200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 688/478,925/312,291/220
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 688,925,291
Least Common Multiple of Numerators i.e. LCM of 688,925,291 is 185192400.
GCF of Denominators means GCF of 478,312,220 as per the given fractions.
GCF of 478,312,220 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 688,925,291
Given numbers has no common factors except 1. So, there LCM is their product i.e 185192400
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 688,925,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,925,291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,925,291) x common factors =1 x 1 = 1
LCM(688,925,291) = ( 688 × 925 × 291 ) / 1
LCM(688,925,291) = 185192400 / 1
LCM(688,925,291) = 185192400
Lets's calculate GCF of 478,312,220
2 | 478, 312, 220 |
239, 156, 110 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185192400/2
Therefore the LCM of Fractions 688/478,925/312,291/220 is 92596200
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 478,312,220 . The biggest common factor number is the GCF number.
So the greatest common factor 478,312,220 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 688/478, 925/312, 291/220?
Answer: LCM of Numerators as per given numbers 688/478, 925/312, 291/220 is
LCM of Numerators i.e. for 688,925,291 is 185192400
GCF of denominators i.e. for 478,312,220 is 2.
Thus, LCM of Fractions is 92596200.Finally, LCM of Fractions for 688/478, 925/312, 291/220 is 92596200.