Least Common Multiple of 20/176, 478/345, 541/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/176, 478/345, 541/769 quickly i.e. 2585980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/176, 478/345, 541/769 is 2585980.

LCM(20/176, 478/345, 541/769) = 2585980

LCM of 20/176, 478/345, 541/769

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 20/176,478/345,541/769

Given numbers are 20/176,478/345,541/769

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 20,478,541

Least Common Multiple of Numerators i.e. LCM of 20,478,541 is 2585980.

GCF of Denominators means GCF of 176,345,769 as per the given fractions.

GCF of 176,345,769 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,478,541

LCM of Fractions 20/176,478/345,541/769 is 2585980

2 20, 478, 541
10, 239, 541

∴ So the LCM of the given numbers is 2 x 10 x 239 x 541 = 2585980

Least Common Multiple of 20,478,541 with GCF Formula

Least Common Multiple of 20,478,541 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 20,478,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,478,541) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(20,478,541) x common factors =1 x 2 = 2

LCM(20,478,541) = ( 20 × 478 × 541 ) / 2

LCM(20,478,541) = 5171960 / 2

LCM(20,478,541) = 2585980


Lets's calculate GCF of 176,345,769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2585980/1

Therefore the LCM of Fractions 20/176,478/345,541/769 is 2585980

Greatest Common Factor of 176,345,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,345,769 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 176,345,769 . The biggest common factor number is the GCF number.
So the greatest common factor 176,345,769 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 20/176, 478/345, 541/769

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 20/176, 478/345, 541/769?

Answer: LCM of Numerators as per given numbers 20/176, 478/345, 541/769 is

LCM of Numerators i.e. for 20,478,541 is 2585980

GCF of denominators i.e. for 176,345,769 is 1.

Thus, LCM of Fractions is 2585980.Finally, LCM of Fractions for 20/176, 478/345, 541/769 is 2585980.