Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 136/358, 5649/537 quickly i.e. 768264/179 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 136/358, 5649/537 is 768264/179.
LCM(136/358, 5649/537) = 768264/179
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 136/358,5649/537
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 136,5649
Least Common Multiple of Numerators i.e. LCM of 136,5649 is 768264.
GCF of Denominators means GCF of 358,537 as per the given fractions.
GCF of 358,537 is 179 as it is the largest common factor for these numbers.
Lets's calculate LCM of 136,5649
Given numbers has no common factors except 1. So, there LCM is their product i.e 768264
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 136,5649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,5649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(136,5649) x common factors =1 x 1 = 1
LCM(136,5649) = ( 136 × 5649 ) / 1
LCM(136,5649) = 768264 / 1
LCM(136,5649) = 768264
Lets's calculate GCF of 358,537
179 | 358, 537 |
2, 3 |
∴ So the GCF of the given numbers is 179 = 179
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 768264/179
Therefore the LCM of Fractions 136/358,5649/537 is 768264/179
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Greatest Common Factor
We found the factors 358,537 . The biggest common factor number is the GCF number.
So the greatest common factor 358,537 is 179.
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 136/358, 5649/537?
Answer: LCM of Numerators as per given numbers 136/358, 5649/537 is
LCM of Numerators i.e. for 136,5649 is 768264
GCF of denominators i.e. for 358,537 is 179.
Thus, LCM of Fractions is 768264/179.Finally, LCM of Fractions for 136/358, 5649/537 is 768264/179.