Least Common Multiple of 174/62, 720/1411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 174/62, 720/1411 quickly i.e. 20880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 174/62, 720/1411 is 20880.

LCM(174/62, 720/1411) = 20880

LCM of 174/62, 720/1411

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 174/62,720/1411

Given numbers are 174/62,720/1411

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 174,720

Least Common Multiple of Numerators i.e. LCM of 174,720 is 20880.

GCF of Denominators means GCF of 62,1411 as per the given fractions.

GCF of 62,1411 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 174,720

LCM of Fractions 174/62,720/1411 is 20880

2 174, 720
3 87, 360
29, 120

∴ So the LCM of the given numbers is 2 x 3 x 29 x 120 = 20880

Least Common Multiple of 174,720 with GCF Formula

Least Common Multiple of 174,720 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 174,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,720) = 6

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

GCF(174,720) x common factors =6 x 1 = 6

LCM(174,720) = ( 174 × 720 ) / 6

LCM(174,720) = 125280 / 6

LCM(174,720) = 20880


Lets's calculate GCF of 62,1411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20880/1

Therefore the LCM of Fractions 174/62,720/1411 is 20880

Greatest Common Factor of 62,1411 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,1411 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 1411

List of positive integer factors of 1411 that divides 1411 without a remainder.

1,17,83,1411

Greatest Common Factor

We found the factors 62,1411 . The biggest common factor number is the GCF number.
So the greatest common factor 62,1411 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 174/62, 720/1411

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 174/62, 720/1411?

Answer: LCM of Numerators as per given numbers 174/62, 720/1411 is

LCM of Numerators i.e. for 174,720 is 20880

GCF of denominators i.e. for 62,1411 is 1.

Thus, LCM of Fractions is 20880.Finally, LCM of Fractions for 174/62, 720/1411 is 20880.