Least Common Multiple of 486/499, 986/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 486/499, 986/988 quickly i.e. 239598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 486/499, 986/988 is 239598.

LCM(486/499, 986/988) = 239598

LCM of 486/499, 986/988

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 486/499,986/988

Given numbers are 486/499,986/988

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 486,986

Least Common Multiple of Numerators i.e. LCM of 486,986 is 239598.

GCF of Denominators means GCF of 499,988 as per the given fractions.

GCF of 499,988 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 486,986

LCM of Fractions 486/499,986/988 is 239598

2 486, 986
243, 493

∴ So the LCM of the given numbers is 2 x 243 x 493 = 239598

Least Common Multiple of 486,986 with GCF Formula

Least Common Multiple of 486,986 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 486,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,986) = 2

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

GCF(486,986) x common factors =2 x 1 = 2

LCM(486,986) = ( 486 × 986 ) / 2

LCM(486,986) = 479196 / 2

LCM(486,986) = 239598


Lets's calculate GCF of 499,988

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239598/1

Therefore the LCM of Fractions 486/499,986/988 is 239598

Greatest Common Factor of 499,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,988 By Matching Biggest Common Factor Method

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 499,988 . The biggest common factor number is the GCF number.
So the greatest common factor 499,988 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 486/499, 986/988

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 486/499, 986/988?

Answer: LCM of Numerators as per given numbers 486/499, 986/988 is

LCM of Numerators i.e. for 486,986 is 239598

GCF of denominators i.e. for 499,988 is 1.

Thus, LCM of Fractions is 239598.Finally, LCM of Fractions for 486/499, 986/988 is 239598.