Least Common Multiple of 2743/416, 3532/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2743/416, 3532/143 quickly i.e. 745252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2743/416, 3532/143 is 745252.

LCM(2743/416, 3532/143) = 745252

LCM of 2743/416, 3532/143

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 2743/416,3532/143

Given numbers are 2743/416,3532/143

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 2743,3532

Least Common Multiple of Numerators i.e. LCM of 2743,3532 is 9688276.

GCF of Denominators means GCF of 416,143 as per the given fractions.

GCF of 416,143 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2743,3532

LCM of Fractions 2743/416,3532/143 is 745252

Given numbers has no common factors except 1. So, there LCM is their product i.e 9688276

Least Common Multiple of 2743,3532 with GCF Formula

Least Common Multiple of 2743,3532 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 2743,3532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2743,3532) = 1

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

GCF(2743,3532) x common factors =1 x 1 = 1

LCM(2743,3532) = ( 2743 × 3532 ) / 1

LCM(2743,3532) = 9688276 / 1

LCM(2743,3532) = 9688276


Lets's calculate GCF of 416,143

13 416, 143
32, 11

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9688276/13

Therefore the LCM of Fractions 2743/416,3532/143 is 745252

Greatest Common Factor of 416,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,143 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 416,143 . The biggest common factor number is the GCF number.
So the greatest common factor 416,143 is 13.


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 2743/416, 3532/143

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 2743/416, 3532/143?

Answer: LCM of Numerators as per given numbers 2743/416, 3532/143 is

LCM of Numerators i.e. for 2743,3532 is 9688276

GCF of denominators i.e. for 416,143 is 13.

Thus, LCM of Fractions is 745252.Finally, LCM of Fractions for 2743/416, 3532/143 is 745252.