Least Common Multiple of 14/144, 89/686, 240/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/144, 89/686, 240/358 quickly i.e. 74760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/144, 89/686, 240/358 is 74760.

LCM(14/144, 89/686, 240/358) = 74760

LCM of 14/144, 89/686, 240/358

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 14/144,89/686,240/358

Given numbers are 14/144,89/686,240/358

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 14,89,240

Least Common Multiple of Numerators i.e. LCM of 14,89,240 is 149520.

GCF of Denominators means GCF of 144,686,358 as per the given fractions.

GCF of 144,686,358 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,89,240

LCM of Fractions 14/144,89/686,240/358 is 74760

2 14, 89, 240
7, 89, 120

∴ So the LCM of the given numbers is 2 x 7 x 89 x 120 = 149520

Least Common Multiple of 14,89,240 with GCF Formula

Least Common Multiple of 14,89,240 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 14,89,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,89,240) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(14,89,240) x common factors =1 x 2 = 2

LCM(14,89,240) = ( 14 × 89 × 240 ) / 2

LCM(14,89,240) = 299040 / 2

LCM(14,89,240) = 149520


Lets's calculate GCF of 144,686,358

2 144, 686, 358
72, 343, 179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149520/2

Therefore the LCM of Fractions 14/144,89/686,240/358 is 74760

Greatest Common Factor of 144,686,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,686,358 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 144,686,358 . The biggest common factor number is the GCF number.
So the greatest common factor 144,686,358 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 14/144, 89/686, 240/358

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 14/144, 89/686, 240/358?

Answer: LCM of Numerators as per given numbers 14/144, 89/686, 240/358 is

LCM of Numerators i.e. for 14,89,240 is 149520

GCF of denominators i.e. for 144,686,358 is 2.

Thus, LCM of Fractions is 74760.Finally, LCM of Fractions for 14/144, 89/686, 240/358 is 74760.