Least Common Multiple of 343/833, 227/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 343/833, 227/735 quickly i.e. 1589 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 343/833, 227/735 is 1589.

LCM(343/833, 227/735) = 1589

LCM of 343/833, 227/735

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 343/833,227/735

Given numbers are 343/833,227/735

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 343,227

Least Common Multiple of Numerators i.e. LCM of 343,227 is 77861.

GCF of Denominators means GCF of 833,735 as per the given fractions.

GCF of 833,735 is 49 as it is the largest common factor for these numbers.

Lets's calculate LCM of 343,227

LCM of Fractions 343/833,227/735 is 1589

Given numbers has no common factors except 1. So, there LCM is their product i.e 77861

Least Common Multiple of 343,227 with GCF Formula

Least Common Multiple of 343,227 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 343,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,227) = 1

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

GCF(343,227) x common factors =1 x 1 = 1

LCM(343,227) = ( 343 × 227 ) / 1

LCM(343,227) = 77861 / 1

LCM(343,227) = 77861


Lets's calculate GCF of 833,735

7 833, 735
7 119, 105
17, 15

∴ So the GCF of the given numbers is 7 x 7 = 49

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77861/49

Therefore the LCM of Fractions 343/833,227/735 is 1589

Greatest Common Factor of 833,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 833,735 By Matching Biggest Common Factor Method

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

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 833,735 . The biggest common factor number is the GCF number.
So the greatest common factor 833,735 is 49.


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 343/833, 227/735

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 343/833, 227/735?

Answer: LCM of Numerators as per given numbers 343/833, 227/735 is

LCM of Numerators i.e. for 343,227 is 77861

GCF of denominators i.e. for 833,735 is 49.

Thus, LCM of Fractions is 1589.Finally, LCM of Fractions for 343/833, 227/735 is 1589.