Least Common Multiple of 134/20, 747/33, 134/74

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 134/20, 747/33, 134/74 quickly i.e. 100098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 134/20, 747/33, 134/74 is 100098.

LCM(134/20, 747/33, 134/74) = 100098

LCM of 134/20, 747/33, 134/74

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 134/20,747/33,134/74

Given numbers are 134/20,747/33,134/74

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 134,747,134

Least Common Multiple of Numerators i.e. LCM of 134,747,134 is 100098.

GCF of Denominators means GCF of 20,33,74 as per the given fractions.

GCF of 20,33,74 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 134,747,134

LCM of Fractions 134/20,747/33,134/74 is 100098

2 134, 747, 134
67 67, 747, 67
1, 747, 1

∴ So the LCM of the given numbers is 2 x 67 x 1 x 747 x 1 = 100098

Least Common Multiple of 134,747,134 with GCF Formula

Least Common Multiple of 134,747,134 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 134,747,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,747,134) = 1

common factors(in case of two or more numbers have common factors) = 134

GCF(134,747,134) x common factors =1 x 134 = 134

LCM(134,747,134) = ( 134 × 747 × 134 ) / 134

LCM(134,747,134) = 13413132 / 134

LCM(134,747,134) = 100098


Lets's calculate GCF of 20,33,74

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100098/1

Therefore the LCM of Fractions 134/20,747/33,134/74 is 100098

Greatest Common Factor of 20,33,74 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,33,74 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Greatest Common Factor

We found the factors 20,33,74 . The biggest common factor number is the GCF number.
So the greatest common factor 20,33,74 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 134/20, 747/33, 134/74

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 134/20, 747/33, 134/74?

Answer: LCM of Numerators as per given numbers 134/20, 747/33, 134/74 is

LCM of Numerators i.e. for 134,747,134 is 100098

GCF of denominators i.e. for 20,33,74 is 1.

Thus, LCM of Fractions is 100098.Finally, LCM of Fractions for 134/20, 747/33, 134/74 is 100098.