Least Common Multiple of 66/896, 49/679, 144/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/896, 49/679, 144/261 quickly i.e. 77616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/896, 49/679, 144/261 is 77616.

LCM(66/896, 49/679, 144/261) = 77616

LCM of 66/896, 49/679, 144/261

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 66/896,49/679,144/261

Given numbers are 66/896,49/679,144/261

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 66,49,144

Least Common Multiple of Numerators i.e. LCM of 66,49,144 is 77616.

GCF of Denominators means GCF of 896,679,261 as per the given fractions.

GCF of 896,679,261 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,49,144

LCM of Fractions 66/896,49/679,144/261 is 77616

2 66, 49, 144
3 33, 49, 72
11, 49, 24

∴ So the LCM of the given numbers is 2 x 3 x 11 x 49 x 24 = 77616

Least Common Multiple of 66,49,144 with GCF Formula

Least Common Multiple of 66,49,144 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 66,49,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,49,144) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(66,49,144) x common factors =1 x 6 = 6

LCM(66,49,144) = ( 66 × 49 × 144 ) / 6

LCM(66,49,144) = 465696 / 6

LCM(66,49,144) = 77616


Lets's calculate GCF of 896,679,261

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77616/1

Therefore the LCM of Fractions 66/896,49/679,144/261 is 77616

Greatest Common Factor of 896,679,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,679,261 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 896,679,261 . The biggest common factor number is the GCF number.
So the greatest common factor 896,679,261 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 66/896, 49/679, 144/261

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 66/896, 49/679, 144/261?

Answer: LCM of Numerators as per given numbers 66/896, 49/679, 144/261 is

LCM of Numerators i.e. for 66,49,144 is 77616

GCF of denominators i.e. for 896,679,261 is 1.

Thus, LCM of Fractions is 77616.Finally, LCM of Fractions for 66/896, 49/679, 144/261 is 77616.