Least Common Multiple of 769/991, 5318/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 769/991, 5318/324 quickly i.e. 4089542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 769/991, 5318/324 is 4089542.

LCM(769/991, 5318/324) = 4089542

LCM of 769/991, 5318/324

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 769/991,5318/324

Given numbers are 769/991,5318/324

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 769,5318

Least Common Multiple of Numerators i.e. LCM of 769,5318 is 4089542.

GCF of Denominators means GCF of 991,324 as per the given fractions.

GCF of 991,324 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 769,5318

LCM of Fractions 769/991,5318/324 is 4089542

Given numbers has no common factors except 1. So, there LCM is their product i.e 4089542

Least Common Multiple of 769,5318 with GCF Formula

Least Common Multiple of 769,5318 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 769,5318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,5318) = 1

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

GCF(769,5318) x common factors =1 x 1 = 1

LCM(769,5318) = ( 769 × 5318 ) / 1

LCM(769,5318) = 4089542 / 1

LCM(769,5318) = 4089542


Lets's calculate GCF of 991,324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4089542/1

Therefore the LCM of Fractions 769/991,5318/324 is 4089542

Greatest Common Factor of 991,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,324 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 991,324 . The biggest common factor number is the GCF number.
So the greatest common factor 991,324 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 769/991, 5318/324

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 769/991, 5318/324?

Answer: LCM of Numerators as per given numbers 769/991, 5318/324 is

LCM of Numerators i.e. for 769,5318 is 4089542

GCF of denominators i.e. for 991,324 is 1.

Thus, LCM of Fractions is 4089542.Finally, LCM of Fractions for 769/991, 5318/324 is 4089542.