Least Common Multiple of 448/382, 2143/7140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 448/382, 2143/7140 quickly i.e. 480032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 448/382, 2143/7140 is 480032.

LCM(448/382, 2143/7140) = 480032

LCM of 448/382, 2143/7140

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 448/382,2143/7140

Given numbers are 448/382,2143/7140

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 448,2143

Least Common Multiple of Numerators i.e. LCM of 448,2143 is 960064.

GCF of Denominators means GCF of 382,7140 as per the given fractions.

GCF of 382,7140 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 448,2143

LCM of Fractions 448/382,2143/7140 is 480032

Given numbers has no common factors except 1. So, there LCM is their product i.e 960064

Least Common Multiple of 448,2143 with GCF Formula

Least Common Multiple of 448,2143 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 448,2143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,2143) = 1

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

GCF(448,2143) x common factors =1 x 1 = 1

LCM(448,2143) = ( 448 × 2143 ) / 1

LCM(448,2143) = 960064 / 1

LCM(448,2143) = 960064


Lets's calculate GCF of 382,7140

2 382, 7140
191, 3570

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 960064/2

Therefore the LCM of Fractions 448/382,2143/7140 is 480032

Greatest Common Factor of 382,7140 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,7140 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 7140

List of positive integer factors of 7140 that divides 7140 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,17,20,21,28,30,34,35,42,51,60,68,70,84,85,102,105,119,140,170,204,210,238,255,340,357,420,476,510,595,714,1020,1190,1428,1785,2380,3570,7140

Greatest Common Factor

We found the factors 382,7140 . The biggest common factor number is the GCF number.
So the greatest common factor 382,7140 is 2.


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 448/382, 2143/7140

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 448/382, 2143/7140?

Answer: LCM of Numerators as per given numbers 448/382, 2143/7140 is

LCM of Numerators i.e. for 448,2143 is 960064

GCF of denominators i.e. for 382,7140 is 2.

Thus, LCM of Fractions is 480032.Finally, LCM of Fractions for 448/382, 2143/7140 is 480032.