Least Common Multiple of 77/14, 41/664, 194/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/14, 41/664, 194/409 quickly i.e. 612458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/14, 41/664, 194/409 is 612458.

LCM(77/14, 41/664, 194/409) = 612458

LCM of 77/14, 41/664, 194/409

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 77/14,41/664,194/409

Given numbers are 77/14,41/664,194/409

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 77,41,194

Least Common Multiple of Numerators i.e. LCM of 77,41,194 is 612458.

GCF of Denominators means GCF of 14,664,409 as per the given fractions.

GCF of 14,664,409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,41,194

LCM of Fractions 77/14,41/664,194/409 is 612458

Given numbers has no common factors except 1. So, there LCM is their product i.e 612458

Least Common Multiple of 77,41,194 with GCF Formula

Least Common Multiple of 77,41,194 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 77,41,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,41,194) = 1

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

GCF(77,41,194) x common factors =1 x 1 = 1

LCM(77,41,194) = ( 77 × 41 × 194 ) / 1

LCM(77,41,194) = 612458 / 1

LCM(77,41,194) = 612458


Lets's calculate GCF of 14,664,409

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 612458/1

Therefore the LCM of Fractions 77/14,41/664,194/409 is 612458

Greatest Common Factor of 14,664,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,664,409 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors 14,664,409 . The biggest common factor number is the GCF number.
So the greatest common factor 14,664,409 is 1.


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 77/14, 41/664, 194/409

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 77/14, 41/664, 194/409?

Answer: LCM of Numerators as per given numbers 77/14, 41/664, 194/409 is

LCM of Numerators i.e. for 77,41,194 is 612458

GCF of denominators i.e. for 14,664,409 is 1.

Thus, LCM of Fractions is 612458.Finally, LCM of Fractions for 77/14, 41/664, 194/409 is 612458.