Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 247/654, 227/336, 152/102 quickly i.e. 448552/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 247/654, 227/336, 152/102 is 448552/6.
LCM(247/654, 227/336, 152/102) = 448552/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 247/654,227/336,152/102
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 247,227,152
Least Common Multiple of Numerators i.e. LCM of 247,227,152 is 448552.
GCF of Denominators means GCF of 654,336,102 as per the given fractions.
GCF of 654,336,102 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 247,227,152
19 | 247, 227, 152 |
13, 227, 8 |
∴ So the LCM of the given numbers is 19 x 13 x 227 x 8 = 448552
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 247,227,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(247,227,152) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(247,227,152) x common factors =1 x 19 = 19
LCM(247,227,152) = ( 247 × 227 × 152 ) / 19
LCM(247,227,152) = 8522488 / 19
LCM(247,227,152) = 448552
Lets's calculate GCF of 654,336,102
2 | 654, 336, 102 |
3 | 327, 168, 51 |
109, 56, 17 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 448552/6
Therefore the LCM of Fractions 247/654,227/336,152/102 is 448552/6
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 654,336,102 . The biggest common factor number is the GCF number.
So the greatest common factor 654,336,102 is 6.
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 247/654, 227/336, 152/102?
Answer: LCM of Numerators as per given numbers 247/654, 227/336, 152/102 is
LCM of Numerators i.e. for 247,227,152 is 448552
GCF of denominators i.e. for 654,336,102 is 6.
Thus, LCM of Fractions is 448552/6.Finally, LCM of Fractions for 247/654, 227/336, 152/102 is 448552/6.