Least Common Multiple of 749/184, 709/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/184, 709/559 quickly i.e. 531041 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/184, 709/559 is 531041.

LCM(749/184, 709/559) = 531041

LCM of 749/184, 709/559

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 749/184,709/559

Given numbers are 749/184,709/559

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 749,709

Least Common Multiple of Numerators i.e. LCM of 749,709 is 531041.

GCF of Denominators means GCF of 184,559 as per the given fractions.

GCF of 184,559 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,709

LCM of Fractions 749/184,709/559 is 531041

Given numbers has no common factors except 1. So, there LCM is their product i.e 531041

Least Common Multiple of 749,709 with GCF Formula

Least Common Multiple of 749,709 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 749,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,709) = 1

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

GCF(749,709) x common factors =1 x 1 = 1

LCM(749,709) = ( 749 × 709 ) / 1

LCM(749,709) = 531041 / 1

LCM(749,709) = 531041


Lets's calculate GCF of 184,559

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 531041/1

Therefore the LCM of Fractions 749/184,709/559 is 531041

Greatest Common Factor of 184,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,559 By Matching Biggest Common Factor Method

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 184,559 . The biggest common factor number is the GCF number.
So the greatest common factor 184,559 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 749/184, 709/559

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 749/184, 709/559?

Answer: LCM of Numerators as per given numbers 749/184, 709/559 is

LCM of Numerators i.e. for 749,709 is 531041

GCF of denominators i.e. for 184,559 is 1.

Thus, LCM of Fractions is 531041.Finally, LCM of Fractions for 749/184, 709/559 is 531041.