Least Common Multiple of 127/69, 469/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 127/69, 469/494 quickly i.e. 59563 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 127/69, 469/494 is 59563.

LCM(127/69, 469/494) = 59563

LCM of 127/69, 469/494

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 127/69,469/494

Given numbers are 127/69,469/494

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 127,469

Least Common Multiple of Numerators i.e. LCM of 127,469 is 59563.

GCF of Denominators means GCF of 69,494 as per the given fractions.

GCF of 69,494 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 127,469

LCM of Fractions 127/69,469/494 is 59563

Given numbers has no common factors except 1. So, there LCM is their product i.e 59563

Least Common Multiple of 127,469 with GCF Formula

Least Common Multiple of 127,469 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 127,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(127,469) = 1

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

GCF(127,469) x common factors =1 x 1 = 1

LCM(127,469) = ( 127 × 469 ) / 1

LCM(127,469) = 59563 / 1

LCM(127,469) = 59563


Lets's calculate GCF of 69,494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59563/1

Therefore the LCM of Fractions 127/69,469/494 is 59563

Greatest Common Factor of 69,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,494 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 69,494 . The biggest common factor number is the GCF number.
So the greatest common factor 69,494 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 127/69, 469/494

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 127/69, 469/494?

Answer: LCM of Numerators as per given numbers 127/69, 469/494 is

LCM of Numerators i.e. for 127,469 is 59563

GCF of denominators i.e. for 69,494 is 1.

Thus, LCM of Fractions is 59563.Finally, LCM of Fractions for 127/69, 469/494 is 59563.