Least Common Multiple of 499/98, 214/6858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 499/98, 214/6858 quickly i.e. 53393 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 499/98, 214/6858 is 53393.

LCM(499/98, 214/6858) = 53393

LCM of 499/98, 214/6858

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 499/98,214/6858

Given numbers are 499/98,214/6858

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 499,214

Least Common Multiple of Numerators i.e. LCM of 499,214 is 106786.

GCF of Denominators means GCF of 98,6858 as per the given fractions.

GCF of 98,6858 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 499,214

LCM of Fractions 499/98,214/6858 is 53393

Given numbers has no common factors except 1. So, there LCM is their product i.e 106786

Least Common Multiple of 499,214 with GCF Formula

Least Common Multiple of 499,214 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 499,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,214) = 1

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

GCF(499,214) x common factors =1 x 1 = 1

LCM(499,214) = ( 499 × 214 ) / 1

LCM(499,214) = 106786 / 1

LCM(499,214) = 106786


Lets's calculate GCF of 98,6858

2 98, 6858
49, 3429

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106786/2

Therefore the LCM of Fractions 499/98,214/6858 is 53393

Greatest Common Factor of 98,6858 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,6858 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 6858

List of positive integer factors of 6858 that divides 6858 without a remainder.

1,2,3,6,9,18,27,54,127,254,381,762,1143,2286,3429,6858

Greatest Common Factor

We found the factors 98,6858 . The biggest common factor number is the GCF number.
So the greatest common factor 98,6858 is 2.


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 499/98, 214/6858

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 499/98, 214/6858?

Answer: LCM of Numerators as per given numbers 499/98, 214/6858 is

LCM of Numerators i.e. for 499,214 is 106786

GCF of denominators i.e. for 98,6858 is 2.

Thus, LCM of Fractions is 53393.Finally, LCM of Fractions for 499/98, 214/6858 is 53393.