Least Common Multiple of 149/543, 5857/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/543, 5857/511 quickly i.e. 872693 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/543, 5857/511 is 872693.

LCM(149/543, 5857/511) = 872693

LCM of 149/543, 5857/511

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 149/543,5857/511

Given numbers are 149/543,5857/511

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 149,5857

Least Common Multiple of Numerators i.e. LCM of 149,5857 is 872693.

GCF of Denominators means GCF of 543,511 as per the given fractions.

GCF of 543,511 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,5857

LCM of Fractions 149/543,5857/511 is 872693

Given numbers has no common factors except 1. So, there LCM is their product i.e 872693

Least Common Multiple of 149,5857 with GCF Formula

Least Common Multiple of 149,5857 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 149,5857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,5857) = 1

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

GCF(149,5857) x common factors =1 x 1 = 1

LCM(149,5857) = ( 149 × 5857 ) / 1

LCM(149,5857) = 872693 / 1

LCM(149,5857) = 872693


Lets's calculate GCF of 543,511

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 872693/1

Therefore the LCM of Fractions 149/543,5857/511 is 872693

Greatest Common Factor of 543,511 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,511 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

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 543,511 . The biggest common factor number is the GCF number.
So the greatest common factor 543,511 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 149/543, 5857/511

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 149/543, 5857/511?

Answer: LCM of Numerators as per given numbers 149/543, 5857/511 is

LCM of Numerators i.e. for 149,5857 is 872693

GCF of denominators i.e. for 543,511 is 1.

Thus, LCM of Fractions is 872693.Finally, LCM of Fractions for 149/543, 5857/511 is 872693.