Least Common Multiple of 498/35, 718/4833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 498/35, 718/4833 quickly i.e. 178782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 498/35, 718/4833 is 178782.

LCM(498/35, 718/4833) = 178782

LCM of 498/35, 718/4833

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 498/35,718/4833

Given numbers are 498/35,718/4833

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 498,718

Least Common Multiple of Numerators i.e. LCM of 498,718 is 178782.

GCF of Denominators means GCF of 35,4833 as per the given fractions.

GCF of 35,4833 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 498,718

LCM of Fractions 498/35,718/4833 is 178782

2 498, 718
249, 359

∴ So the LCM of the given numbers is 2 x 249 x 359 = 178782

Least Common Multiple of 498,718 with GCF Formula

Least Common Multiple of 498,718 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 498,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,718) = 2

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

GCF(498,718) x common factors =2 x 1 = 2

LCM(498,718) = ( 498 × 718 ) / 2

LCM(498,718) = 357564 / 2

LCM(498,718) = 178782


Lets's calculate GCF of 35,4833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178782/1

Therefore the LCM of Fractions 498/35,718/4833 is 178782

Greatest Common Factor of 35,4833 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,4833 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 4833

List of positive integer factors of 4833 that divides 4833 without a remainder.

1,3,9,27,179,537,1611,4833

Greatest Common Factor

We found the factors 35,4833 . The biggest common factor number is the GCF number.
So the greatest common factor 35,4833 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 498/35, 718/4833

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 498/35, 718/4833?

Answer: LCM of Numerators as per given numbers 498/35, 718/4833 is

LCM of Numerators i.e. for 498,718 is 178782

GCF of denominators i.e. for 35,4833 is 1.

Thus, LCM of Fractions is 178782.Finally, LCM of Fractions for 498/35, 718/4833 is 178782.