Least Common Multiple of 49/893, 64/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/893, 64/329 quickly i.e. 3136/47 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/893, 64/329 is 3136/47.

LCM(49/893, 64/329) = 3136/47

LCM of 49/893, 64/329

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 49/893,64/329

Given numbers are 49/893,64/329

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 49,64

Least Common Multiple of Numerators i.e. LCM of 49,64 is 3136.

GCF of Denominators means GCF of 893,329 as per the given fractions.

GCF of 893,329 is 47 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,64

LCM of Fractions 49/893,64/329 is 3136/47

Given numbers has no common factors except 1. So, there LCM is their product i.e 3136

Least Common Multiple of 49,64 with GCF Formula

Least Common Multiple of 49,64 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 49,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,64) = 1

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

GCF(49,64) x common factors =1 x 1 = 1

LCM(49,64) = ( 49 × 64 ) / 1

LCM(49,64) = 3136 / 1

LCM(49,64) = 3136


Lets's calculate GCF of 893,329

47 893, 329
19, 7

∴ So the GCF of the given numbers is 47 = 47

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3136/47

Therefore the LCM of Fractions 49/893,64/329 is 3136/47

Greatest Common Factor of 893,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,329 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 893,329 . The biggest common factor number is the GCF number.
So the greatest common factor 893,329 is 47.


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 49/893, 64/329

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 49/893, 64/329?

Answer: LCM of Numerators as per given numbers 49/893, 64/329 is

LCM of Numerators i.e. for 49,64 is 3136

GCF of denominators i.e. for 893,329 is 47.

Thus, LCM of Fractions is 3136/47.Finally, LCM of Fractions for 49/893, 64/329 is 3136/47.