Least Common Multiple of 498/120, 404/127, 688/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 498/120, 404/127, 688/809 quickly i.e. 17302512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 498/120, 404/127, 688/809 is 17302512.

LCM(498/120, 404/127, 688/809) = 17302512

LCM of 498/120, 404/127, 688/809

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 498/120,404/127,688/809

Given numbers are 498/120,404/127,688/809

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 498,404,688

Least Common Multiple of Numerators i.e. LCM of 498,404,688 is 17302512.

GCF of Denominators means GCF of 120,127,809 as per the given fractions.

GCF of 120,127,809 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 498,404,688

LCM of Fractions 498/120,404/127,688/809 is 17302512

2 498, 404, 688
2 249, 202, 344
249, 101, 172

∴ So the LCM of the given numbers is 2 x 2 x 249 x 101 x 172 = 17302512

Least Common Multiple of 498,404,688 with GCF Formula

Least Common Multiple of 498,404,688 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 498,404,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,404,688) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(498,404,688) x common factors =2 x 4 = 8

LCM(498,404,688) = ( 498 × 404 × 688 ) / 8

LCM(498,404,688) = 138420096 / 8

LCM(498,404,688) = 17302512


Lets's calculate GCF of 120,127,809

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17302512/1

Therefore the LCM of Fractions 498/120,404/127,688/809 is 17302512

Greatest Common Factor of 120,127,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,127,809 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Greatest Common Factor

We found the factors 120,127,809 . The biggest common factor number is the GCF number.
So the greatest common factor 120,127,809 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 498/120, 404/127, 688/809

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 498/120, 404/127, 688/809?

Answer: LCM of Numerators as per given numbers 498/120, 404/127, 688/809 is

LCM of Numerators i.e. for 498,404,688 is 17302512

GCF of denominators i.e. for 120,127,809 is 1.

Thus, LCM of Fractions is 17302512.Finally, LCM of Fractions for 498/120, 404/127, 688/809 is 17302512.