Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 154/758, 166/664, 756/648 quickly i.e. 345114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 154/758, 166/664, 756/648 is 345114.
LCM(154/758, 166/664, 756/648) = 345114
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 154/758,166/664,756/648
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 154,166,756
Least Common Multiple of Numerators i.e. LCM of 154,166,756 is 690228.
GCF of Denominators means GCF of 758,664,648 as per the given fractions.
GCF of 758,664,648 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 154,166,756
2 | 154, 166, 756 |
7 | 77, 83, 378 |
11, 83, 54 |
∴ So the LCM of the given numbers is 2 x 7 x 11 x 83 x 54 = 690228
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 154,166,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,166,756) = 2
common factors(in case of two or more numbers have common factors) = 14
GCF(154,166,756) x common factors =2 x 14 = 28
LCM(154,166,756) = ( 154 × 166 × 756 ) / 28
LCM(154,166,756) = 19326384 / 28
LCM(154,166,756) = 690228
Lets's calculate GCF of 758,664,648
2 | 758, 664, 648 |
379, 332, 324 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 690228/2
Therefore the LCM of Fractions 154/758,166/664,756/648 is 345114
Factors of 758
List of positive integer factors of 758 that divides 758 without a remainder.
1,2,379,758
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 758,664,648 . The biggest common factor number is the GCF number.
So the greatest common factor 758,664,648 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 154/758, 166/664, 756/648?
Answer: LCM of Numerators as per given numbers 154/758, 166/664, 756/648 is
LCM of Numerators i.e. for 154,166,756 is 690228
GCF of denominators i.e. for 758,664,648 is 2.
Thus, LCM of Fractions is 345114.Finally, LCM of Fractions for 154/758, 166/664, 756/648 is 345114.