Least Common Multiple of 67/660, 93/105, 749/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/660, 93/105, 749/314 quickly i.e. 4667019 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/660, 93/105, 749/314 is 4667019.

LCM(67/660, 93/105, 749/314) = 4667019

LCM of 67/660, 93/105, 749/314

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 67/660,93/105,749/314

Given numbers are 67/660,93/105,749/314

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 67,93,749

Least Common Multiple of Numerators i.e. LCM of 67,93,749 is 4667019.

GCF of Denominators means GCF of 660,105,314 as per the given fractions.

GCF of 660,105,314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,93,749

LCM of Fractions 67/660,93/105,749/314 is 4667019

Given numbers has no common factors except 1. So, there LCM is their product i.e 4667019

Least Common Multiple of 67,93,749 with GCF Formula

Least Common Multiple of 67,93,749 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 67,93,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,93,749) = 1

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

GCF(67,93,749) x common factors =1 x 1 = 1

LCM(67,93,749) = ( 67 × 93 × 749 ) / 1

LCM(67,93,749) = 4667019 / 1

LCM(67,93,749) = 4667019


Lets's calculate GCF of 660,105,314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4667019/1

Therefore the LCM of Fractions 67/660,93/105,749/314 is 4667019

Greatest Common Factor of 660,105,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,105,314 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 105

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

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

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 660,105,314 . The biggest common factor number is the GCF number.
So the greatest common factor 660,105,314 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 67/660, 93/105, 749/314

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 67/660, 93/105, 749/314?

Answer: LCM of Numerators as per given numbers 67/660, 93/105, 749/314 is

LCM of Numerators i.e. for 67,93,749 is 4667019

GCF of denominators i.e. for 660,105,314 is 1.

Thus, LCM of Fractions is 4667019.Finally, LCM of Fractions for 67/660, 93/105, 749/314 is 4667019.