Least Common Multiple of 457/549, 992/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 457/549, 992/709 quickly i.e. 453344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 457/549, 992/709 is 453344.

LCM(457/549, 992/709) = 453344

LCM of 457/549, 992/709

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 457/549,992/709

Given numbers are 457/549,992/709

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 457,992

Least Common Multiple of Numerators i.e. LCM of 457,992 is 453344.

GCF of Denominators means GCF of 549,709 as per the given fractions.

GCF of 549,709 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 457,992

LCM of Fractions 457/549,992/709 is 453344

Given numbers has no common factors except 1. So, there LCM is their product i.e 453344

Least Common Multiple of 457,992 with GCF Formula

Least Common Multiple of 457,992 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 457,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,992) = 1

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

GCF(457,992) x common factors =1 x 1 = 1

LCM(457,992) = ( 457 × 992 ) / 1

LCM(457,992) = 453344 / 1

LCM(457,992) = 453344


Lets's calculate GCF of 549,709

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 453344/1

Therefore the LCM of Fractions 457/549,992/709 is 453344

Greatest Common Factor of 549,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,709 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 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Greatest Common Factor

We found the factors 549,709 . The biggest common factor number is the GCF number.
So the greatest common factor 549,709 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 457/549, 992/709

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 457/549, 992/709?

Answer: LCM of Numerators as per given numbers 457/549, 992/709 is

LCM of Numerators i.e. for 457,992 is 453344

GCF of denominators i.e. for 549,709 is 1.

Thus, LCM of Fractions is 453344.Finally, LCM of Fractions for 457/549, 992/709 is 453344.