Least Common Multiple of 135/62, 927/1828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 135/62, 927/1828 quickly i.e. 13905/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/62, 927/1828 is 13905/2.

LCM(135/62, 927/1828) = 13905/2

LCM of 135/62, 927/1828

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 135/62,927/1828

Given numbers are 135/62,927/1828

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 135,927

Least Common Multiple of Numerators i.e. LCM of 135,927 is 13905.

GCF of Denominators means GCF of 62,1828 as per the given fractions.

GCF of 62,1828 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,927

LCM of Fractions 135/62,927/1828 is 13905/2

3 135, 927
3 45, 309
15, 103

∴ So the LCM of the given numbers is 3 x 3 x 15 x 103 = 13905

Least Common Multiple of 135,927 with GCF Formula

Least Common Multiple of 135,927 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 135,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,927) = 9

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

GCF(135,927) x common factors =9 x 1 = 9

LCM(135,927) = ( 135 × 927 ) / 9

LCM(135,927) = 125145 / 9

LCM(135,927) = 13905


Lets's calculate GCF of 62,1828

2 62, 1828
31, 914

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13905/2

Therefore the LCM of Fractions 135/62,927/1828 is 13905/2

Greatest Common Factor of 62,1828 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,1828 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 1828

List of positive integer factors of 1828 that divides 1828 without a remainder.

1,2,4,457,914,1828

Greatest Common Factor

We found the factors 62,1828 . The biggest common factor number is the GCF number.
So the greatest common factor 62,1828 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 135/62, 927/1828

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 135/62, 927/1828?

Answer: LCM of Numerators as per given numbers 135/62, 927/1828 is

LCM of Numerators i.e. for 135,927 is 13905

GCF of denominators i.e. for 62,1828 is 2.

Thus, LCM of Fractions is 13905/2.Finally, LCM of Fractions for 135/62, 927/1828 is 13905/2.