Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 118/49, 356/3607 quickly i.e. 21004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 118/49, 356/3607 is 21004.
LCM(118/49, 356/3607) = 21004
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 118/49,356/3607
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 118,356
Least Common Multiple of Numerators i.e. LCM of 118,356 is 21004.
GCF of Denominators means GCF of 49,3607 as per the given fractions.
GCF of 49,3607 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 118,356
2 | 118, 356 |
59, 178 |
∴ So the LCM of the given numbers is 2 x 59 x 178 = 21004
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 118,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,356) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(118,356) x common factors =2 x 1 = 2
LCM(118,356) = ( 118 × 356 ) / 2
LCM(118,356) = 42008 / 2
LCM(118,356) = 21004
Lets's calculate GCF of 49,3607
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21004/1
Therefore the LCM of Fractions 118/49,356/3607 is 21004
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 3607
List of positive integer factors of 3607 that divides 3607 without a remainder.
1,3607
Greatest Common Factor
We found the factors 49,3607 . The biggest common factor number is the GCF number.
So the greatest common factor 49,3607 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 118/49, 356/3607?
Answer: LCM of Numerators as per given numbers 118/49, 356/3607 is
LCM of Numerators i.e. for 118,356 is 21004
GCF of denominators i.e. for 49,3607 is 1.
Thus, LCM of Fractions is 21004.Finally, LCM of Fractions for 118/49, 356/3607 is 21004.