Least Common Multiple of 489/91, 505/46, 509/92

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/91, 505/46, 509/92 quickly i.e. 125695005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/91, 505/46, 509/92 is 125695005.

LCM(489/91, 505/46, 509/92) = 125695005

LCM of 489/91, 505/46, 509/92

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 489/91,505/46,509/92

Given numbers are 489/91,505/46,509/92

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 489,505,509

Least Common Multiple of Numerators i.e. LCM of 489,505,509 is 125695005.

GCF of Denominators means GCF of 91,46,92 as per the given fractions.

GCF of 91,46,92 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,505,509

LCM of Fractions 489/91,505/46,509/92 is 125695005

Given numbers has no common factors except 1. So, there LCM is their product i.e 125695005

Least Common Multiple of 489,505,509 with GCF Formula

Least Common Multiple of 489,505,509 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 489,505,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,505,509) = 1

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

GCF(489,505,509) x common factors =1 x 1 = 1

LCM(489,505,509) = ( 489 × 505 × 509 ) / 1

LCM(489,505,509) = 125695005 / 1

LCM(489,505,509) = 125695005


Lets's calculate GCF of 91,46,92

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125695005/1

Therefore the LCM of Fractions 489/91,505/46,509/92 is 125695005

Greatest Common Factor of 91,46,92 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,46,92 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Greatest Common Factor

We found the factors 91,46,92 . The biggest common factor number is the GCF number.
So the greatest common factor 91,46,92 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 489/91, 505/46, 509/92

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 489/91, 505/46, 509/92?

Answer: LCM of Numerators as per given numbers 489/91, 505/46, 509/92 is

LCM of Numerators i.e. for 489,505,509 is 125695005

GCF of denominators i.e. for 91,46,92 is 1.

Thus, LCM of Fractions is 125695005.Finally, LCM of Fractions for 489/91, 505/46, 509/92 is 125695005.