Least Common Multiple of 1107/549, 1069/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1107/549, 1069/624 quickly i.e. 394461 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1107/549, 1069/624 is 394461.

LCM(1107/549, 1069/624) = 394461

LCM of 1107/549, 1069/624

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 1107/549,1069/624

Given numbers are 1107/549,1069/624

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 1107,1069

Least Common Multiple of Numerators i.e. LCM of 1107,1069 is 1183383.

GCF of Denominators means GCF of 549,624 as per the given fractions.

GCF of 549,624 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1107,1069

LCM of Fractions 1107/549,1069/624 is 394461

Given numbers has no common factors except 1. So, there LCM is their product i.e 1183383

Least Common Multiple of 1107,1069 with GCF Formula

Least Common Multiple of 1107,1069 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 1107,1069 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1107,1069) = 1

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

GCF(1107,1069) x common factors =1 x 1 = 1

LCM(1107,1069) = ( 1107 × 1069 ) / 1

LCM(1107,1069) = 1183383 / 1

LCM(1107,1069) = 1183383


Lets's calculate GCF of 549,624

3 549, 624
183, 208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1183383/3

Therefore the LCM of Fractions 1107/549,1069/624 is 394461

Greatest Common Factor of 549,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,624 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 549,624 . The biggest common factor number is the GCF number.
So the greatest common factor 549,624 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 1107/549, 1069/624

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 1107/549, 1069/624?

Answer: LCM of Numerators as per given numbers 1107/549, 1069/624 is

LCM of Numerators i.e. for 1107,1069 is 1183383

GCF of denominators i.e. for 549,624 is 3.

Thus, LCM of Fractions is 394461.Finally, LCM of Fractions for 1107/549, 1069/624 is 394461.