Least Common Multiple of 182/67, 763/57, 969/79

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 182/67, 763/57, 969/79 quickly i.e. 19223022 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 182/67, 763/57, 969/79 is 19223022.

LCM(182/67, 763/57, 969/79) = 19223022

LCM of 182/67, 763/57, 969/79

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 182/67,763/57,969/79

Given numbers are 182/67,763/57,969/79

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 182,763,969

Least Common Multiple of Numerators i.e. LCM of 182,763,969 is 19223022.

GCF of Denominators means GCF of 67,57,79 as per the given fractions.

GCF of 67,57,79 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 182,763,969

LCM of Fractions 182/67,763/57,969/79 is 19223022

7 182, 763, 969
26, 109, 969

∴ So the LCM of the given numbers is 7 x 26 x 109 x 969 = 19223022

Least Common Multiple of 182,763,969 with GCF Formula

Least Common Multiple of 182,763,969 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 182,763,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,763,969) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(182,763,969) x common factors =1 x 7 = 7

LCM(182,763,969) = ( 182 × 763 × 969 ) / 7

LCM(182,763,969) = 134561154 / 7

LCM(182,763,969) = 19223022


Lets's calculate GCF of 67,57,79

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19223022/1

Therefore the LCM of Fractions 182/67,763/57,969/79 is 19223022

Greatest Common Factor of 67,57,79 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,57,79 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Greatest Common Factor

We found the factors 67,57,79 . The biggest common factor number is the GCF number.
So the greatest common factor 67,57,79 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 182/67, 763/57, 969/79

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 182/67, 763/57, 969/79?

Answer: LCM of Numerators as per given numbers 182/67, 763/57, 969/79 is

LCM of Numerators i.e. for 182,763,969 is 19223022

GCF of denominators i.e. for 67,57,79 is 1.

Thus, LCM of Fractions is 19223022.Finally, LCM of Fractions for 182/67, 763/57, 969/79 is 19223022.