Least Common Multiple of 45/737, 1733/2018

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 45/737, 1733/2018 quickly i.e. 77985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/737, 1733/2018 is 77985.

LCM(45/737, 1733/2018) = 77985

LCM of 45/737, 1733/2018

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 45/737,1733/2018

Given numbers are 45/737,1733/2018

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 45,1733

Least Common Multiple of Numerators i.e. LCM of 45,1733 is 77985.

GCF of Denominators means GCF of 737,2018 as per the given fractions.

GCF of 737,2018 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,1733

LCM of Fractions 45/737,1733/2018 is 77985

Given numbers has no common factors except 1. So, there LCM is their product i.e 77985

Least Common Multiple of 45,1733 with GCF Formula

Least Common Multiple of 45,1733 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 45,1733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,1733) = 1

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

GCF(45,1733) x common factors =1 x 1 = 1

LCM(45,1733) = ( 45 × 1733 ) / 1

LCM(45,1733) = 77985 / 1

LCM(45,1733) = 77985


Lets's calculate GCF of 737,2018

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77985/1

Therefore the LCM of Fractions 45/737,1733/2018 is 77985

Greatest Common Factor of 737,2018 By Matching Biggest Common Factor Method

Greatest Common Factor of 737,2018 By Matching Biggest Common Factor Method

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Factors of 2018

List of positive integer factors of 2018 that divides 2018 without a remainder.

1,2,1009,2018

Greatest Common Factor

We found the factors 737,2018 . The biggest common factor number is the GCF number.
So the greatest common factor 737,2018 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 45/737, 1733/2018

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 45/737, 1733/2018?

Answer: LCM of Numerators as per given numbers 45/737, 1733/2018 is

LCM of Numerators i.e. for 45,1733 is 77985

GCF of denominators i.e. for 737,2018 is 1.

Thus, LCM of Fractions is 77985.Finally, LCM of Fractions for 45/737, 1733/2018 is 77985.