Least Common Multiple of 66/48, 43/44, 74/49, 86/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/48, 43/44, 74/49, 86/891 quickly i.e. 105006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/48, 43/44, 74/49, 86/891 is 105006.

LCM(66/48, 43/44, 74/49, 86/891) = 105006

LCM of 66/48, 43/44, 74/49, 86/891

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 66/48,43/44,74/49,86/891

Given numbers are 66/48,43/44,74/49,86/891

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 66,43,74,86

Least Common Multiple of Numerators i.e. LCM of 66,43,74,86 is 105006.

GCF of Denominators means GCF of 48,44,49,891 as per the given fractions.

GCF of 48,44,49,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,43,74,86

LCM of Fractions 66/48,43/44,74/49,86/891 is 105006

2 66, 43, 74, 86
43 33, 43, 37, 43
33, 1, 37, 1

∴ So the LCM of the given numbers is 2 x 43 x 33 x 1 x 37 x 1 = 105006

Least Common Multiple of 66,43,74,86 with GCF Formula

Least Common Multiple of 66,43,74,86 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 66,43,74,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,43,74,86) = 1

common factors(in case of two or more numbers have common factors) = 172

GCF(66,43,74,86) x common factors =1 x 172 = 172

LCM(66,43,74,86) = ( 66 × 43 × 74 × 86 ) / 172

LCM(66,43,74,86) = 18061032 / 172

LCM(66,43,74,86) = 105006


Lets's calculate GCF of 48,44,49,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105006/1

Therefore the LCM of Fractions 66/48,43/44,74/49,86/891 is 105006

Greatest Common Factor of 48,44,49,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,44,49,891 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 48,44,49,891 . The biggest common factor number is the GCF number.
So the greatest common factor 48,44,49,891 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 66/48, 43/44, 74/49, 86/891

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 66/48, 43/44, 74/49, 86/891?

Answer: LCM of Numerators as per given numbers 66/48, 43/44, 74/49, 86/891 is

LCM of Numerators i.e. for 66,43,74,86 is 105006

GCF of denominators i.e. for 48,44,49,891 is 1.

Thus, LCM of Fractions is 105006.Finally, LCM of Fractions for 66/48, 43/44, 74/49, 86/891 is 105006.