Least Common Multiple of 60/268, 7336/3436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 60/268, 7336/3436 quickly i.e. 27510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/268, 7336/3436 is 27510.

LCM(60/268, 7336/3436) = 27510

LCM of 60/268, 7336/3436

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 60/268,7336/3436

Given numbers are 60/268,7336/3436

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 60,7336

Least Common Multiple of Numerators i.e. LCM of 60,7336 is 110040.

GCF of Denominators means GCF of 268,3436 as per the given fractions.

GCF of 268,3436 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,7336

LCM of Fractions 60/268,7336/3436 is 27510

2 60, 7336
2 30, 3668
15, 1834

∴ So the LCM of the given numbers is 2 x 2 x 15 x 1834 = 110040

Least Common Multiple of 60,7336 with GCF Formula

Least Common Multiple of 60,7336 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 60,7336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,7336) = 4

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

GCF(60,7336) x common factors =4 x 1 = 4

LCM(60,7336) = ( 60 × 7336 ) / 4

LCM(60,7336) = 440160 / 4

LCM(60,7336) = 110040


Lets's calculate GCF of 268,3436

2 268, 3436
2 134, 1718
67, 859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110040/4

Therefore the LCM of Fractions 60/268,7336/3436 is 27510

Greatest Common Factor of 268,3436 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,3436 By Matching Biggest Common Factor Method

Factors of 268

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

1,2,4,67,134,268

Factors of 3436

List of positive integer factors of 3436 that divides 3436 without a remainder.

1,2,4,859,1718,3436

Greatest Common Factor

We found the factors 268,3436 . The biggest common factor number is the GCF number.
So the greatest common factor 268,3436 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 60/268, 7336/3436

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 60/268, 7336/3436?

Answer: LCM of Numerators as per given numbers 60/268, 7336/3436 is

LCM of Numerators i.e. for 60,7336 is 110040

GCF of denominators i.e. for 268,3436 is 4.

Thus, LCM of Fractions is 27510.Finally, LCM of Fractions for 60/268, 7336/3436 is 27510.