Least Common Multiple of 45/139, 14/180, 724/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/139, 14/180, 724/967 quickly i.e. 228060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/139, 14/180, 724/967 is 228060.

LCM(45/139, 14/180, 724/967) = 228060

LCM of 45/139, 14/180, 724/967

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 45/139,14/180,724/967

Given numbers are 45/139,14/180,724/967

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 45,14,724

Least Common Multiple of Numerators i.e. LCM of 45,14,724 is 228060.

GCF of Denominators means GCF of 139,180,967 as per the given fractions.

GCF of 139,180,967 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,14,724

LCM of Fractions 45/139,14/180,724/967 is 228060

2 45, 14, 724
45, 7, 362

∴ So the LCM of the given numbers is 2 x 45 x 7 x 362 = 228060

Least Common Multiple of 45,14,724 with GCF Formula

Least Common Multiple of 45,14,724 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 45,14,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,14,724) = 1

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

GCF(45,14,724) x common factors =1 x 2 = 2

LCM(45,14,724) = ( 45 × 14 × 724 ) / 2

LCM(45,14,724) = 456120 / 2

LCM(45,14,724) = 228060


Lets's calculate GCF of 139,180,967

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 228060/1

Therefore the LCM of Fractions 45/139,14/180,724/967 is 228060

Greatest Common Factor of 139,180,967 By Matching Biggest Common Factor Method

Greatest Common Factor of 139,180,967 By Matching Biggest Common Factor Method

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Greatest Common Factor

We found the factors 139,180,967 . The biggest common factor number is the GCF number.
So the greatest common factor 139,180,967 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 45/139, 14/180, 724/967

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 45/139, 14/180, 724/967?

Answer: LCM of Numerators as per given numbers 45/139, 14/180, 724/967 is

LCM of Numerators i.e. for 45,14,724 is 228060

GCF of denominators i.e. for 139,180,967 is 1.

Thus, LCM of Fractions is 228060.Finally, LCM of Fractions for 45/139, 14/180, 724/967 is 228060.