Least Common Multiple of 62/789, 11/386, 692/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/789, 11/386, 692/480 quickly i.e. 235972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/789, 11/386, 692/480 is 235972.

LCM(62/789, 11/386, 692/480) = 235972

LCM of 62/789, 11/386, 692/480

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 62/789,11/386,692/480

Given numbers are 62/789,11/386,692/480

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 62,11,692

Least Common Multiple of Numerators i.e. LCM of 62,11,692 is 235972.

GCF of Denominators means GCF of 789,386,480 as per the given fractions.

GCF of 789,386,480 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,11,692

LCM of Fractions 62/789,11/386,692/480 is 235972

2 62, 11, 692
31, 11, 346

∴ So the LCM of the given numbers is 2 x 31 x 11 x 346 = 235972

Least Common Multiple of 62,11,692 with GCF Formula

Least Common Multiple of 62,11,692 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 62,11,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,11,692) = 1

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

GCF(62,11,692) x common factors =1 x 2 = 2

LCM(62,11,692) = ( 62 × 11 × 692 ) / 2

LCM(62,11,692) = 471944 / 2

LCM(62,11,692) = 235972


Lets's calculate GCF of 789,386,480

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235972/1

Therefore the LCM of Fractions 62/789,11/386,692/480 is 235972

Greatest Common Factor of 789,386,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,386,480 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 789,386,480 . The biggest common factor number is the GCF number.
So the greatest common factor 789,386,480 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 62/789, 11/386, 692/480

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 62/789, 11/386, 692/480?

Answer: LCM of Numerators as per given numbers 62/789, 11/386, 692/480 is

LCM of Numerators i.e. for 62,11,692 is 235972

GCF of denominators i.e. for 789,386,480 is 1.

Thus, LCM of Fractions is 235972.Finally, LCM of Fractions for 62/789, 11/386, 692/480 is 235972.