Least Common Multiple of 3544/424, 9951/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3544/424, 9951/978 quickly i.e. 17633172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3544/424, 9951/978 is 17633172.

LCM(3544/424, 9951/978) = 17633172

LCM of 3544/424, 9951/978

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 3544/424,9951/978

Given numbers are 3544/424,9951/978

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 3544,9951

Least Common Multiple of Numerators i.e. LCM of 3544,9951 is 35266344.

GCF of Denominators means GCF of 424,978 as per the given fractions.

GCF of 424,978 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3544,9951

LCM of Fractions 3544/424,9951/978 is 17633172

Given numbers has no common factors except 1. So, there LCM is their product i.e 35266344

Least Common Multiple of 3544,9951 with GCF Formula

Least Common Multiple of 3544,9951 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 3544,9951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3544,9951) = 1

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

GCF(3544,9951) x common factors =1 x 1 = 1

LCM(3544,9951) = ( 3544 × 9951 ) / 1

LCM(3544,9951) = 35266344 / 1

LCM(3544,9951) = 35266344


Lets's calculate GCF of 424,978

2 424, 978
212, 489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35266344/2

Therefore the LCM of Fractions 3544/424,9951/978 is 17633172

Greatest Common Factor of 424,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,978 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 978

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

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

Greatest Common Factor

We found the factors 424,978 . The biggest common factor number is the GCF number.
So the greatest common factor 424,978 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 3544/424, 9951/978

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 3544/424, 9951/978?

Answer: LCM of Numerators as per given numbers 3544/424, 9951/978 is

LCM of Numerators i.e. for 3544,9951 is 35266344

GCF of denominators i.e. for 424,978 is 2.

Thus, LCM of Fractions is 17633172.Finally, LCM of Fractions for 3544/424, 9951/978 is 17633172.