Least Common Multiple of 14/45, 74/18, 74/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/45, 74/18, 74/298 quickly i.e. 518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/45, 74/18, 74/298 is 518.

LCM(14/45, 74/18, 74/298) = 518

LCM of 14/45, 74/18, 74/298

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 14/45,74/18,74/298

Given numbers are 14/45,74/18,74/298

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 14,74,74

Least Common Multiple of Numerators i.e. LCM of 14,74,74 is 518.

GCF of Denominators means GCF of 45,18,298 as per the given fractions.

GCF of 45,18,298 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,74,74

LCM of Fractions 14/45,74/18,74/298 is 518

2 14, 74, 74
37 7, 37, 37
7, 1, 1

∴ So the LCM of the given numbers is 2 x 37 x 7 x 1 x 1 = 518

Least Common Multiple of 14,74,74 with GCF Formula

Least Common Multiple of 14,74,74 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 14,74,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,74,74) = 2

common factors(in case of two or more numbers have common factors) = 74

GCF(14,74,74) x common factors =2 x 74 = 148

LCM(14,74,74) = ( 14 × 74 × 74 ) / 148

LCM(14,74,74) = 76664 / 148

LCM(14,74,74) = 518


Lets's calculate GCF of 45,18,298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 518/1

Therefore the LCM of Fractions 14/45,74/18,74/298 is 518

Greatest Common Factor of 45,18,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,18,298 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 45,18,298 . The biggest common factor number is the GCF number.
So the greatest common factor 45,18,298 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 14/45, 74/18, 74/298

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 14/45, 74/18, 74/298?

Answer: LCM of Numerators as per given numbers 14/45, 74/18, 74/298 is

LCM of Numerators i.e. for 14,74,74 is 518

GCF of denominators i.e. for 45,18,298 is 1.

Thus, LCM of Fractions is 518.Finally, LCM of Fractions for 14/45, 74/18, 74/298 is 518.