Least Common Multiple of 460/549, 830/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 460/549, 830/639 quickly i.e. 38180/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 460/549, 830/639 is 38180/9.

LCM(460/549, 830/639) = 38180/9

LCM of 460/549, 830/639

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 460/549,830/639

Given numbers are 460/549,830/639

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 460,830

Least Common Multiple of Numerators i.e. LCM of 460,830 is 38180.

GCF of Denominators means GCF of 549,639 as per the given fractions.

GCF of 549,639 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 460,830

LCM of Fractions 460/549,830/639 is 38180/9

2 460, 830
5 230, 415
46, 83

∴ So the LCM of the given numbers is 2 x 5 x 46 x 83 = 38180

Least Common Multiple of 460,830 with GCF Formula

Least Common Multiple of 460,830 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 460,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,830) = 10

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

GCF(460,830) x common factors =10 x 1 = 10

LCM(460,830) = ( 460 × 830 ) / 10

LCM(460,830) = 381800 / 10

LCM(460,830) = 38180


Lets's calculate GCF of 549,639

3 549, 639
3 183, 213
61, 71

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38180/9

Therefore the LCM of Fractions 460/549,830/639 is 38180/9

Greatest Common Factor of 549,639 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,639 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Greatest Common Factor

We found the factors 549,639 . The biggest common factor number is the GCF number.
So the greatest common factor 549,639 is 9.


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 460/549, 830/639

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 460/549, 830/639?

Answer: LCM of Numerators as per given numbers 460/549, 830/639 is

LCM of Numerators i.e. for 460,830 is 38180

GCF of denominators i.e. for 549,639 is 9.

Thus, LCM of Fractions is 38180/9.Finally, LCM of Fractions for 460/549, 830/639 is 38180/9.