Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 154/70, 504/29, 421/48 quickly i.e. 2334024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 154/70, 504/29, 421/48 is 2334024.
LCM(154/70, 504/29, 421/48) = 2334024
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 154/70,504/29,421/48
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 154,504,421
Least Common Multiple of Numerators i.e. LCM of 154,504,421 is 2334024.
GCF of Denominators means GCF of 70,29,48 as per the given fractions.
GCF of 70,29,48 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 154,504,421
2 | 154, 504, 421 |
7 | 77, 252, 421 |
11, 36, 421 |
∴ So the LCM of the given numbers is 2 x 7 x 11 x 36 x 421 = 2334024
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 154,504,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,504,421) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(154,504,421) x common factors =1 x 14 = 14
LCM(154,504,421) = ( 154 × 504 × 421 ) / 14
LCM(154,504,421) = 32676336 / 14
LCM(154,504,421) = 2334024
Lets's calculate GCF of 70,29,48
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2334024/1
Therefore the LCM of Fractions 154/70,504/29,421/48 is 2334024
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Greatest Common Factor
We found the factors 70,29,48 . The biggest common factor number is the GCF number.
So the greatest common factor 70,29,48 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 154/70, 504/29, 421/48?
Answer: LCM of Numerators as per given numbers 154/70, 504/29, 421/48 is
LCM of Numerators i.e. for 154,504,421 is 2334024
GCF of denominators i.e. for 70,29,48 is 1.
Thus, LCM of Fractions is 2334024.Finally, LCM of Fractions for 154/70, 504/29, 421/48 is 2334024.