Least Common Multiple of 110/66, 389/96, 737/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 110/66, 389/96, 737/614 quickly i.e. 1433465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 110/66, 389/96, 737/614 is 1433465.

LCM(110/66, 389/96, 737/614) = 1433465

LCM of 110/66, 389/96, 737/614

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 110/66,389/96,737/614

Given numbers are 110/66,389/96,737/614

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 110,389,737

Least Common Multiple of Numerators i.e. LCM of 110,389,737 is 2866930.

GCF of Denominators means GCF of 66,96,614 as per the given fractions.

GCF of 66,96,614 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 110,389,737

LCM of Fractions 110/66,389/96,737/614 is 1433465

11 110, 389, 737
10, 389, 67

∴ So the LCM of the given numbers is 11 x 10 x 389 x 67 = 2866930

Least Common Multiple of 110,389,737 with GCF Formula

Least Common Multiple of 110,389,737 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 110,389,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(110,389,737) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(110,389,737) x common factors =1 x 11 = 11

LCM(110,389,737) = ( 110 × 389 × 737 ) / 11

LCM(110,389,737) = 31536230 / 11

LCM(110,389,737) = 2866930


Lets's calculate GCF of 66,96,614

2 66, 96, 614
33, 48, 307

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2866930/2

Therefore the LCM of Fractions 110/66,389/96,737/614 is 1433465

Greatest Common Factor of 66,96,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,96,614 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 66,96,614 . The biggest common factor number is the GCF number.
So the greatest common factor 66,96,614 is 2.


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 110/66, 389/96, 737/614

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 110/66, 389/96, 737/614?

Answer: LCM of Numerators as per given numbers 110/66, 389/96, 737/614 is

LCM of Numerators i.e. for 110,389,737 is 2866930

GCF of denominators i.e. for 66,96,614 is 2.

Thus, LCM of Fractions is 1433465.Finally, LCM of Fractions for 110/66, 389/96, 737/614 is 1433465.