Least Common Multiple of 179/385, 661/365, 719/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 179/385, 661/365, 719/826 quickly i.e. 85071361 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 179/385, 661/365, 719/826 is 85071361.

LCM(179/385, 661/365, 719/826) = 85071361

LCM of 179/385, 661/365, 719/826

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 179/385,661/365,719/826

Given numbers are 179/385,661/365,719/826

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 179,661,719

Least Common Multiple of Numerators i.e. LCM of 179,661,719 is 85071361.

GCF of Denominators means GCF of 385,365,826 as per the given fractions.

GCF of 385,365,826 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 179,661,719

LCM of Fractions 179/385,661/365,719/826 is 85071361

Given numbers has no common factors except 1. So, there LCM is their product i.e 85071361

Least Common Multiple of 179,661,719 with GCF Formula

Least Common Multiple of 179,661,719 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 179,661,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,661,719) = 1

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

GCF(179,661,719) x common factors =1 x 1 = 1

LCM(179,661,719) = ( 179 × 661 × 719 ) / 1

LCM(179,661,719) = 85071361 / 1

LCM(179,661,719) = 85071361


Lets's calculate GCF of 385,365,826

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85071361/1

Therefore the LCM of Fractions 179/385,661/365,719/826 is 85071361

Greatest Common Factor of 385,365,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,365,826 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 385,365,826 . The biggest common factor number is the GCF number.
So the greatest common factor 385,365,826 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 179/385, 661/365, 719/826

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 179/385, 661/365, 719/826?

Answer: LCM of Numerators as per given numbers 179/385, 661/365, 719/826 is

LCM of Numerators i.e. for 179,661,719 is 85071361

GCF of denominators i.e. for 385,365,826 is 1.

Thus, LCM of Fractions is 85071361.Finally, LCM of Fractions for 179/385, 661/365, 719/826 is 85071361.