Least Common Multiple of 705/669, 168/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/669, 168/995 quickly i.e. 39480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/669, 168/995 is 39480.

LCM(705/669, 168/995) = 39480

LCM of 705/669, 168/995

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 705/669,168/995

Given numbers are 705/669,168/995

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 705,168

Least Common Multiple of Numerators i.e. LCM of 705,168 is 39480.

GCF of Denominators means GCF of 669,995 as per the given fractions.

GCF of 669,995 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,168

LCM of Fractions 705/669,168/995 is 39480

3 705, 168
235, 56

∴ So the LCM of the given numbers is 3 x 235 x 56 = 39480

Least Common Multiple of 705,168 with GCF Formula

Least Common Multiple of 705,168 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 705,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,168) = 3

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

GCF(705,168) x common factors =3 x 1 = 3

LCM(705,168) = ( 705 × 168 ) / 3

LCM(705,168) = 118440 / 3

LCM(705,168) = 39480


Lets's calculate GCF of 669,995

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39480/1

Therefore the LCM of Fractions 705/669,168/995 is 39480

Greatest Common Factor of 669,995 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,995 By Matching Biggest Common Factor Method

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Greatest Common Factor

We found the factors 669,995 . The biggest common factor number is the GCF number.
So the greatest common factor 669,995 is 1.


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 705/669, 168/995

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 705/669, 168/995?

Answer: LCM of Numerators as per given numbers 705/669, 168/995 is

LCM of Numerators i.e. for 705,168 is 39480

GCF of denominators i.e. for 669,995 is 1.

Thus, LCM of Fractions is 39480.Finally, LCM of Fractions for 705/669, 168/995 is 39480.