Least Common Multiple of 5543/978, 4150/1354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5543/978, 4150/1354 quickly i.e. 11501725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5543/978, 4150/1354 is 11501725.

LCM(5543/978, 4150/1354) = 11501725

LCM of 5543/978, 4150/1354

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 5543/978,4150/1354

Given numbers are 5543/978,4150/1354

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 5543,4150

Least Common Multiple of Numerators i.e. LCM of 5543,4150 is 23003450.

GCF of Denominators means GCF of 978,1354 as per the given fractions.

GCF of 978,1354 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5543,4150

LCM of Fractions 5543/978,4150/1354 is 11501725

Given numbers has no common factors except 1. So, there LCM is their product i.e 23003450

Least Common Multiple of 5543,4150 with GCF Formula

Least Common Multiple of 5543,4150 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 5543,4150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5543,4150) = 1

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

GCF(5543,4150) x common factors =1 x 1 = 1

LCM(5543,4150) = ( 5543 × 4150 ) / 1

LCM(5543,4150) = 23003450 / 1

LCM(5543,4150) = 23003450


Lets's calculate GCF of 978,1354

2 978, 1354
489, 677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23003450/2

Therefore the LCM of Fractions 5543/978,4150/1354 is 11501725

Greatest Common Factor of 978,1354 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,1354 By Matching Biggest Common Factor Method

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 1354

List of positive integer factors of 1354 that divides 1354 without a remainder.

1,2,677,1354

Greatest Common Factor

We found the factors 978,1354 . The biggest common factor number is the GCF number.
So the greatest common factor 978,1354 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 5543/978, 4150/1354

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 5543/978, 4150/1354?

Answer: LCM of Numerators as per given numbers 5543/978, 4150/1354 is

LCM of Numerators i.e. for 5543,4150 is 23003450

GCF of denominators i.e. for 978,1354 is 2.

Thus, LCM of Fractions is 11501725.Finally, LCM of Fractions for 5543/978, 4150/1354 is 11501725.