Least Common Multiple of 1909/429, 6732/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1909/429, 6732/620 quickly i.e. 12851388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1909/429, 6732/620 is 12851388.

LCM(1909/429, 6732/620) = 12851388

LCM of 1909/429, 6732/620

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 1909/429,6732/620

Given numbers are 1909/429,6732/620

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 1909,6732

Least Common Multiple of Numerators i.e. LCM of 1909,6732 is 12851388.

GCF of Denominators means GCF of 429,620 as per the given fractions.

GCF of 429,620 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1909,6732

LCM of Fractions 1909/429,6732/620 is 12851388

Given numbers has no common factors except 1. So, there LCM is their product i.e 12851388

Least Common Multiple of 1909,6732 with GCF Formula

Least Common Multiple of 1909,6732 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 1909,6732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1909,6732) = 1

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

GCF(1909,6732) x common factors =1 x 1 = 1

LCM(1909,6732) = ( 1909 × 6732 ) / 1

LCM(1909,6732) = 12851388 / 1

LCM(1909,6732) = 12851388


Lets's calculate GCF of 429,620

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12851388/1

Therefore the LCM of Fractions 1909/429,6732/620 is 12851388

Greatest Common Factor of 429,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,620 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 429,620 . The biggest common factor number is the GCF number.
So the greatest common factor 429,620 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1909/429, 6732/620

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 1909/429, 6732/620?

Answer: LCM of Numerators as per given numbers 1909/429, 6732/620 is

LCM of Numerators i.e. for 1909,6732 is 12851388

GCF of denominators i.e. for 429,620 is 1.

Thus, LCM of Fractions is 12851388.Finally, LCM of Fractions for 1909/429, 6732/620 is 12851388.