Least Common Multiple of 824/136, 655/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 824/136, 655/268 quickly i.e. 134930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/136, 655/268 is 134930.

LCM(824/136, 655/268) = 134930

LCM of 824/136, 655/268

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 824/136,655/268

Given numbers are 824/136,655/268

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 824,655

Least Common Multiple of Numerators i.e. LCM of 824,655 is 539720.

GCF of Denominators means GCF of 136,268 as per the given fractions.

GCF of 136,268 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,655

LCM of Fractions 824/136,655/268 is 134930

Given numbers has no common factors except 1. So, there LCM is their product i.e 539720

Least Common Multiple of 824,655 with GCF Formula

Least Common Multiple of 824,655 with GCF Formula

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 824,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,655) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(824,655) x common factors =1 x 1 = 1

LCM(824,655) = ( 824 × 655 ) / 1

LCM(824,655) = 539720 / 1

LCM(824,655) = 539720


Lets's calculate GCF of 136,268

2 136, 268
2 68, 134
34, 67

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 539720/4

Therefore the LCM of Fractions 824/136,655/268 is 134930

Greatest Common Factor of 136,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,268 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 136,268 . The biggest common factor number is the GCF number.
So the greatest common factor 136,268 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 824/136, 655/268

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 824/136, 655/268?

Answer: LCM of Numerators as per given numbers 824/136, 655/268 is

LCM of Numerators i.e. for 824,655 is 539720

GCF of denominators i.e. for 136,268 is 4.

Thus, LCM of Fractions is 134930.Finally, LCM of Fractions for 824/136, 655/268 is 134930.