Least Common Multiple of 738/240, 833/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 738/240, 833/824 quickly i.e. 614754/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 738/240, 833/824 is 614754/8.

LCM(738/240, 833/824) = 614754/8

LCM of 738/240, 833/824

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 738/240,833/824

Given numbers are 738/240,833/824

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 738,833

Least Common Multiple of Numerators i.e. LCM of 738,833 is 614754.

GCF of Denominators means GCF of 240,824 as per the given fractions.

GCF of 240,824 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 738,833

LCM of Fractions 738/240,833/824 is 614754/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 614754

Least Common Multiple of 738,833 with GCF Formula

Least Common Multiple of 738,833 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 738,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,833) = 1

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

GCF(738,833) x common factors =1 x 1 = 1

LCM(738,833) = ( 738 × 833 ) / 1

LCM(738,833) = 614754 / 1

LCM(738,833) = 614754


Lets's calculate GCF of 240,824

2 240, 824
2 120, 412
2 60, 206
30, 103

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 614754/8

Therefore the LCM of Fractions 738/240,833/824 is 614754/8

Greatest Common Factor of 240,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,824 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 240,824 . The biggest common factor number is the GCF number.
So the greatest common factor 240,824 is 8.


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 738/240, 833/824

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 738/240, 833/824?

Answer: LCM of Numerators as per given numbers 738/240, 833/824 is

LCM of Numerators i.e. for 738,833 is 614754

GCF of denominators i.e. for 240,824 is 8.

Thus, LCM of Fractions is 614754/8.Finally, LCM of Fractions for 738/240, 833/824 is 614754/8.