Least Common Multiple of 14/26, 14/454, 942/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 14/26, 14/454, 942/332 quickly i.e. 3297 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/26, 14/454, 942/332 is 3297.

LCM(14/26, 14/454, 942/332) = 3297

LCM of 14/26, 14/454, 942/332

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 14/26,14/454,942/332

Given numbers are 14/26,14/454,942/332

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 14,14,942

Least Common Multiple of Numerators i.e. LCM of 14,14,942 is 6594.

GCF of Denominators means GCF of 26,454,332 as per the given fractions.

GCF of 26,454,332 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,14,942

LCM of Fractions 14/26,14/454,942/332 is 3297

2 14, 14, 942
7 7, 7, 471
1, 1, 471

∴ So the LCM of the given numbers is 2 x 7 x 1 x 1 x 471 = 6594

Least Common Multiple of 14,14,942 with GCF Formula

Least Common Multiple of 14,14,942 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 14,14,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,14,942) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(14,14,942) x common factors =2 x 14 = 28

LCM(14,14,942) = ( 14 × 14 × 942 ) / 28

LCM(14,14,942) = 184632 / 28

LCM(14,14,942) = 6594


Lets's calculate GCF of 26,454,332

2 26, 454, 332
13, 227, 166

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6594/2

Therefore the LCM of Fractions 14/26,14/454,942/332 is 3297

Greatest Common Factor of 26,454,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,454,332 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 26,454,332 . The biggest common factor number is the GCF number.
So the greatest common factor 26,454,332 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 14/26, 14/454, 942/332

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 14/26, 14/454, 942/332?

Answer: LCM of Numerators as per given numbers 14/26, 14/454, 942/332 is

LCM of Numerators i.e. for 14,14,942 is 6594

GCF of denominators i.e. for 26,454,332 is 2.

Thus, LCM of Fractions is 3297.Finally, LCM of Fractions for 14/26, 14/454, 942/332 is 3297.