Least Common Multiple of 62/546, 400/199, 317/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/546, 400/199, 317/489 quickly i.e. 3930800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/546, 400/199, 317/489 is 3930800.

LCM(62/546, 400/199, 317/489) = 3930800

LCM of 62/546, 400/199, 317/489

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 62/546,400/199,317/489

Given numbers are 62/546,400/199,317/489

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 62,400,317

Least Common Multiple of Numerators i.e. LCM of 62,400,317 is 3930800.

GCF of Denominators means GCF of 546,199,489 as per the given fractions.

GCF of 546,199,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,400,317

LCM of Fractions 62/546,400/199,317/489 is 3930800

2 62, 400, 317
31, 200, 317

∴ So the LCM of the given numbers is 2 x 31 x 200 x 317 = 3930800

Least Common Multiple of 62,400,317 with GCF Formula

Least Common Multiple of 62,400,317 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 62,400,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,400,317) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,400,317) x common factors =1 x 2 = 2

LCM(62,400,317) = ( 62 × 400 × 317 ) / 2

LCM(62,400,317) = 7861600 / 2

LCM(62,400,317) = 3930800


Lets's calculate GCF of 546,199,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3930800/1

Therefore the LCM of Fractions 62/546,400/199,317/489 is 3930800

Greatest Common Factor of 546,199,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,199,489 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 546,199,489 . The biggest common factor number is the GCF number.
So the greatest common factor 546,199,489 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 62/546, 400/199, 317/489

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 62/546, 400/199, 317/489?

Answer: LCM of Numerators as per given numbers 62/546, 400/199, 317/489 is

LCM of Numerators i.e. for 62,400,317 is 3930800

GCF of denominators i.e. for 546,199,489 is 1.

Thus, LCM of Fractions is 3930800.Finally, LCM of Fractions for 62/546, 400/199, 317/489 is 3930800.