Least Common Multiple of 920/675, 447/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 920/675, 447/429 quickly i.e. 137080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 920/675, 447/429 is 137080.

LCM(920/675, 447/429) = 137080

LCM of 920/675, 447/429

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 920/675,447/429

Given numbers are 920/675,447/429

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 920,447

Least Common Multiple of Numerators i.e. LCM of 920,447 is 411240.

GCF of Denominators means GCF of 675,429 as per the given fractions.

GCF of 675,429 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 920,447

LCM of Fractions 920/675,447/429 is 137080

Given numbers has no common factors except 1. So, there LCM is their product i.e 411240

Least Common Multiple of 920,447 with GCF Formula

Least Common Multiple of 920,447 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 920,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,447) = 1

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

GCF(920,447) x common factors =1 x 1 = 1

LCM(920,447) = ( 920 × 447 ) / 1

LCM(920,447) = 411240 / 1

LCM(920,447) = 411240


Lets's calculate GCF of 675,429

3 675, 429
225, 143

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 411240/3

Therefore the LCM of Fractions 920/675,447/429 is 137080

Greatest Common Factor of 675,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,429 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 429

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

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

Greatest Common Factor

We found the factors 675,429 . The biggest common factor number is the GCF number.
So the greatest common factor 675,429 is 3.


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 920/675, 447/429

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 920/675, 447/429?

Answer: LCM of Numerators as per given numbers 920/675, 447/429 is

LCM of Numerators i.e. for 920,447 is 411240

GCF of denominators i.e. for 675,429 is 3.

Thus, LCM of Fractions is 137080.Finally, LCM of Fractions for 920/675, 447/429 is 137080.