Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 154/34, 653/7036 quickly i.e. 50281 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 154/34, 653/7036 is 50281.
LCM(154/34, 653/7036) = 50281
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 154/34,653/7036
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 154,653
Least Common Multiple of Numerators i.e. LCM of 154,653 is 100562.
GCF of Denominators means GCF of 34,7036 as per the given fractions.
GCF of 34,7036 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 154,653
Given numbers has no common factors except 1. So, there LCM is their product i.e 100562
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 154,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(154,653) x common factors =1 x 1 = 1
LCM(154,653) = ( 154 × 653 ) / 1
LCM(154,653) = 100562 / 1
LCM(154,653) = 100562
Lets's calculate GCF of 34,7036
2 | 34, 7036 |
17, 3518 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100562/2
Therefore the LCM of Fractions 154/34,653/7036 is 50281
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 7036
List of positive integer factors of 7036 that divides 7036 without a remainder.
1,2,4,1759,3518,7036
Greatest Common Factor
We found the factors 34,7036 . The biggest common factor number is the GCF number.
So the greatest common factor 34,7036 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 154/34, 653/7036?
Answer: LCM of Numerators as per given numbers 154/34, 653/7036 is
LCM of Numerators i.e. for 154,653 is 100562
GCF of denominators i.e. for 34,7036 is 2.
Thus, LCM of Fractions is 50281.Finally, LCM of Fractions for 154/34, 653/7036 is 50281.