Least Common Multiple of 77/84, 58/83, 969/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/84, 58/83, 969/493 quickly i.e. 4327554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/84, 58/83, 969/493 is 4327554.

LCM(77/84, 58/83, 969/493) = 4327554

LCM of 77/84, 58/83, 969/493

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 77/84,58/83,969/493

Given numbers are 77/84,58/83,969/493

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 77,58,969

Least Common Multiple of Numerators i.e. LCM of 77,58,969 is 4327554.

GCF of Denominators means GCF of 84,83,493 as per the given fractions.

GCF of 84,83,493 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,58,969

LCM of Fractions 77/84,58/83,969/493 is 4327554

Given numbers has no common factors except 1. So, there LCM is their product i.e 4327554

Least Common Multiple of 77,58,969 with GCF Formula

Least Common Multiple of 77,58,969 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 77,58,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,58,969) = 1

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

GCF(77,58,969) x common factors =1 x 1 = 1

LCM(77,58,969) = ( 77 × 58 × 969 ) / 1

LCM(77,58,969) = 4327554 / 1

LCM(77,58,969) = 4327554


Lets's calculate GCF of 84,83,493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4327554/1

Therefore the LCM of Fractions 77/84,58/83,969/493 is 4327554

Greatest Common Factor of 84,83,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,83,493 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 84,83,493 . The biggest common factor number is the GCF number.
So the greatest common factor 84,83,493 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 77/84, 58/83, 969/493

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 77/84, 58/83, 969/493?

Answer: LCM of Numerators as per given numbers 77/84, 58/83, 969/493 is

LCM of Numerators i.e. for 77,58,969 is 4327554

GCF of denominators i.e. for 84,83,493 is 1.

Thus, LCM of Fractions is 4327554.Finally, LCM of Fractions for 77/84, 58/83, 969/493 is 4327554.