Least Common Multiple of 223/584, 671/505, 764/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 223/584, 671/505, 764/735 quickly i.e. 114319612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 223/584, 671/505, 764/735 is 114319612.

LCM(223/584, 671/505, 764/735) = 114319612

LCM of 223/584, 671/505, 764/735

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 223/584,671/505,764/735

Given numbers are 223/584,671/505,764/735

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 223,671,764

Least Common Multiple of Numerators i.e. LCM of 223,671,764 is 114319612.

GCF of Denominators means GCF of 584,505,735 as per the given fractions.

GCF of 584,505,735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 223,671,764

LCM of Fractions 223/584,671/505,764/735 is 114319612

Given numbers has no common factors except 1. So, there LCM is their product i.e 114319612

Least Common Multiple of 223,671,764 with GCF Formula

Least Common Multiple of 223,671,764 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 223,671,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,671,764) = 1

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

GCF(223,671,764) x common factors =1 x 1 = 1

LCM(223,671,764) = ( 223 × 671 × 764 ) / 1

LCM(223,671,764) = 114319612 / 1

LCM(223,671,764) = 114319612


Lets's calculate GCF of 584,505,735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114319612/1

Therefore the LCM of Fractions 223/584,671/505,764/735 is 114319612

Greatest Common Factor of 584,505,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,505,735 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 584,505,735 . The biggest common factor number is the GCF number.
So the greatest common factor 584,505,735 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 223/584, 671/505, 764/735

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 223/584, 671/505, 764/735?

Answer: LCM of Numerators as per given numbers 223/584, 671/505, 764/735 is

LCM of Numerators i.e. for 223,671,764 is 114319612

GCF of denominators i.e. for 584,505,735 is 1.

Thus, LCM of Fractions is 114319612.Finally, LCM of Fractions for 223/584, 671/505, 764/735 is 114319612.