Least Common Multiple of 732/896, 2919/3246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 732/896, 2919/3246 quickly i.e. 356118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 732/896, 2919/3246 is 356118.

LCM(732/896, 2919/3246) = 356118

LCM of 732/896, 2919/3246

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 732/896,2919/3246

Given numbers are 732/896,2919/3246

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 732,2919

Least Common Multiple of Numerators i.e. LCM of 732,2919 is 712236.

GCF of Denominators means GCF of 896,3246 as per the given fractions.

GCF of 896,3246 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 732,2919

LCM of Fractions 732/896,2919/3246 is 356118

3 732, 2919
244, 973

∴ So the LCM of the given numbers is 3 x 244 x 973 = 712236

Least Common Multiple of 732,2919 with GCF Formula

Least Common Multiple of 732,2919 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 732,2919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,2919) = 3

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

GCF(732,2919) x common factors =3 x 1 = 3

LCM(732,2919) = ( 732 × 2919 ) / 3

LCM(732,2919) = 2136708 / 3

LCM(732,2919) = 712236


Lets's calculate GCF of 896,3246

2 896, 3246
448, 1623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 712236/2

Therefore the LCM of Fractions 732/896,2919/3246 is 356118

Greatest Common Factor of 896,3246 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,3246 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 3246

List of positive integer factors of 3246 that divides 3246 without a remainder.

1,2,3,6,541,1082,1623,3246

Greatest Common Factor

We found the factors 896,3246 . The biggest common factor number is the GCF number.
So the greatest common factor 896,3246 is 2.


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 732/896, 2919/3246

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 732/896, 2919/3246?

Answer: LCM of Numerators as per given numbers 732/896, 2919/3246 is

LCM of Numerators i.e. for 732,2919 is 712236

GCF of denominators i.e. for 896,3246 is 2.

Thus, LCM of Fractions is 356118.Finally, LCM of Fractions for 732/896, 2919/3246 is 356118.