Least Common Multiple of 66/138, 970/27, 536/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/138, 970/27, 536/669 quickly i.e. 2859560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/138, 970/27, 536/669 is 2859560.

LCM(66/138, 970/27, 536/669) = 2859560

LCM of 66/138, 970/27, 536/669

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 66/138,970/27,536/669

Given numbers are 66/138,970/27,536/669

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 66,970,536

Least Common Multiple of Numerators i.e. LCM of 66,970,536 is 8578680.

GCF of Denominators means GCF of 138,27,669 as per the given fractions.

GCF of 138,27,669 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,970,536

LCM of Fractions 66/138,970/27,536/669 is 2859560

2 66, 970, 536
33, 485, 268

∴ So the LCM of the given numbers is 2 x 33 x 485 x 268 = 8578680

Least Common Multiple of 66,970,536 with GCF Formula

Least Common Multiple of 66,970,536 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 66,970,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,970,536) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(66,970,536) x common factors =2 x 2 = 4

LCM(66,970,536) = ( 66 × 970 × 536 ) / 4

LCM(66,970,536) = 34314720 / 4

LCM(66,970,536) = 8578680


Lets's calculate GCF of 138,27,669

3 138, 27, 669
46, 9, 223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8578680/3

Therefore the LCM of Fractions 66/138,970/27,536/669 is 2859560

Greatest Common Factor of 138,27,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,27,669 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 669

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

1,3,223,669

Greatest Common Factor

We found the factors 138,27,669 . The biggest common factor number is the GCF number.
So the greatest common factor 138,27,669 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 66/138, 970/27, 536/669

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 66/138, 970/27, 536/669?

Answer: LCM of Numerators as per given numbers 66/138, 970/27, 536/669 is

LCM of Numerators i.e. for 66,970,536 is 8578680

GCF of denominators i.e. for 138,27,669 is 3.

Thus, LCM of Fractions is 2859560.Finally, LCM of Fractions for 66/138, 970/27, 536/669 is 2859560.