Least Common Multiple of 988/577, 493/858, 221/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 988/577, 493/858, 221/511 quickly i.e. 487084 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 988/577, 493/858, 221/511 is 487084.

LCM(988/577, 493/858, 221/511) = 487084

LCM of 988/577, 493/858, 221/511

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 988/577,493/858,221/511

Given numbers are 988/577,493/858,221/511

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 988,493,221

Least Common Multiple of Numerators i.e. LCM of 988,493,221 is 487084.

GCF of Denominators means GCF of 577,858,511 as per the given fractions.

GCF of 577,858,511 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 988,493,221

LCM of Fractions 988/577,493/858,221/511 is 487084

13 988, 493, 221
17 76, 493, 17
76, 29, 1

∴ So the LCM of the given numbers is 13 x 17 x 76 x 29 x 1 = 487084

Least Common Multiple of 988,493,221 with GCF Formula

Least Common Multiple of 988,493,221 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 988,493,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,493,221) = 1

common factors(in case of two or more numbers have common factors) = 221

GCF(988,493,221) x common factors =1 x 221 = 221

LCM(988,493,221) = ( 988 × 493 × 221 ) / 221

LCM(988,493,221) = 107645564 / 221

LCM(988,493,221) = 487084


Lets's calculate GCF of 577,858,511

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 487084/1

Therefore the LCM of Fractions 988/577,493/858,221/511 is 487084

Greatest Common Factor of 577,858,511 By Matching Biggest Common Factor Method

Greatest Common Factor of 577,858,511 By Matching Biggest Common Factor Method

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Greatest Common Factor

We found the factors 577,858,511 . The biggest common factor number is the GCF number.
So the greatest common factor 577,858,511 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 988/577, 493/858, 221/511

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 988/577, 493/858, 221/511?

Answer: LCM of Numerators as per given numbers 988/577, 493/858, 221/511 is

LCM of Numerators i.e. for 988,493,221 is 487084

GCF of denominators i.e. for 577,858,511 is 1.

Thus, LCM of Fractions is 487084.Finally, LCM of Fractions for 988/577, 493/858, 221/511 is 487084.