Least Common Multiple of 232/896, 921/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 232/896, 921/394 quickly i.e. 106836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 232/896, 921/394 is 106836.

LCM(232/896, 921/394) = 106836

LCM of 232/896, 921/394

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 232/896,921/394

Given numbers are 232/896,921/394

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 232,921

Least Common Multiple of Numerators i.e. LCM of 232,921 is 213672.

GCF of Denominators means GCF of 896,394 as per the given fractions.

GCF of 896,394 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 232,921

LCM of Fractions 232/896,921/394 is 106836

Given numbers has no common factors except 1. So, there LCM is their product i.e 213672

Least Common Multiple of 232,921 with GCF Formula

Least Common Multiple of 232,921 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 232,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,921) = 1

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

GCF(232,921) x common factors =1 x 1 = 1

LCM(232,921) = ( 232 × 921 ) / 1

LCM(232,921) = 213672 / 1

LCM(232,921) = 213672


Lets's calculate GCF of 896,394

2 896, 394
448, 197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213672/2

Therefore the LCM of Fractions 232/896,921/394 is 106836

Greatest Common Factor of 896,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,394 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 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 896,394 . The biggest common factor number is the GCF number.
So the greatest common factor 896,394 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 232/896, 921/394

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 232/896, 921/394?

Answer: LCM of Numerators as per given numbers 232/896, 921/394 is

LCM of Numerators i.e. for 232,921 is 213672

GCF of denominators i.e. for 896,394 is 2.

Thus, LCM of Fractions is 106836.Finally, LCM of Fractions for 232/896, 921/394 is 106836.