Least Common Multiple of 66/448, 305/459, 677/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/448, 305/459, 677/105 quickly i.e. 13628010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/448, 305/459, 677/105 is 13628010.

LCM(66/448, 305/459, 677/105) = 13628010

LCM of 66/448, 305/459, 677/105

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 66/448,305/459,677/105

Given numbers are 66/448,305/459,677/105

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 66,305,677

Least Common Multiple of Numerators i.e. LCM of 66,305,677 is 13628010.

GCF of Denominators means GCF of 448,459,105 as per the given fractions.

GCF of 448,459,105 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,305,677

LCM of Fractions 66/448,305/459,677/105 is 13628010

Given numbers has no common factors except 1. So, there LCM is their product i.e 13628010

Least Common Multiple of 66,305,677 with GCF Formula

Least Common Multiple of 66,305,677 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 66,305,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,305,677) = 1

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

GCF(66,305,677) x common factors =1 x 1 = 1

LCM(66,305,677) = ( 66 × 305 × 677 ) / 1

LCM(66,305,677) = 13628010 / 1

LCM(66,305,677) = 13628010


Lets's calculate GCF of 448,459,105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13628010/1

Therefore the LCM of Fractions 66/448,305/459,677/105 is 13628010

Greatest Common Factor of 448,459,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,459,105 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

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

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 448,459,105 . The biggest common factor number is the GCF number.
So the greatest common factor 448,459,105 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 66/448, 305/459, 677/105

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 66/448, 305/459, 677/105?

Answer: LCM of Numerators as per given numbers 66/448, 305/459, 677/105 is

LCM of Numerators i.e. for 66,305,677 is 13628010

GCF of denominators i.e. for 448,459,105 is 1.

Thus, LCM of Fractions is 13628010.Finally, LCM of Fractions for 66/448, 305/459, 677/105 is 13628010.