Least Common Multiple of 994/164, 7737/6784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 994/164, 7737/6784 quickly i.e. 7690578/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 994/164, 7737/6784 is 7690578/4.

LCM(994/164, 7737/6784) = 7690578/4

LCM of 994/164, 7737/6784

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 994/164,7737/6784

Given numbers are 994/164,7737/6784

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 994,7737

Least Common Multiple of Numerators i.e. LCM of 994,7737 is 7690578.

GCF of Denominators means GCF of 164,6784 as per the given fractions.

GCF of 164,6784 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 994,7737

LCM of Fractions 994/164,7737/6784 is 7690578/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 7690578

Least Common Multiple of 994,7737 with GCF Formula

Least Common Multiple of 994,7737 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 994,7737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,7737) = 1

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

GCF(994,7737) x common factors =1 x 1 = 1

LCM(994,7737) = ( 994 × 7737 ) / 1

LCM(994,7737) = 7690578 / 1

LCM(994,7737) = 7690578


Lets's calculate GCF of 164,6784

2 164, 6784
2 82, 3392
41, 1696

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7690578/4

Therefore the LCM of Fractions 994/164,7737/6784 is 7690578/4

Greatest Common Factor of 164,6784 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,6784 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 6784

List of positive integer factors of 6784 that divides 6784 without a remainder.

1,2,4,8,16,32,53,64,106,128,212,424,848,1696,3392,6784

Greatest Common Factor

We found the factors 164,6784 . The biggest common factor number is the GCF number.
So the greatest common factor 164,6784 is 4.


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 994/164, 7737/6784

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 994/164, 7737/6784?

Answer: LCM of Numerators as per given numbers 994/164, 7737/6784 is

LCM of Numerators i.e. for 994,7737 is 7690578

GCF of denominators i.e. for 164,6784 is 4.

Thus, LCM of Fractions is 7690578/4.Finally, LCM of Fractions for 994/164, 7737/6784 is 7690578/4.