Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/818, 60/676, 478/292 quickly i.e. 157740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/818, 60/676, 478/292 is 157740.
LCM(88/818, 60/676, 478/292) = 157740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/818,60/676,478/292
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 88,60,478
Least Common Multiple of Numerators i.e. LCM of 88,60,478 is 315480.
GCF of Denominators means GCF of 818,676,292 as per the given fractions.
GCF of 818,676,292 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,60,478
2 | 88, 60, 478 |
2 | 44, 30, 239 |
22, 15, 239 |
∴ So the LCM of the given numbers is 2 x 2 x 22 x 15 x 239 = 315480
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 88,60,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,60,478) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(88,60,478) x common factors =2 x 4 = 8
LCM(88,60,478) = ( 88 × 60 × 478 ) / 8
LCM(88,60,478) = 2523840 / 8
LCM(88,60,478) = 315480
Lets's calculate GCF of 818,676,292
2 | 818, 676, 292 |
409, 338, 146 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 315480/2
Therefore the LCM of Fractions 88/818,60/676,478/292 is 157740
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 818,676,292 . The biggest common factor number is the GCF number.
So the greatest common factor 818,676,292 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 88/818, 60/676, 478/292?
Answer: LCM of Numerators as per given numbers 88/818, 60/676, 478/292 is
LCM of Numerators i.e. for 88,60,478 is 315480
GCF of denominators i.e. for 818,676,292 is 2.
Thus, LCM of Fractions is 157740.Finally, LCM of Fractions for 88/818, 60/676, 478/292 is 157740.