Least Common Multiple of 45/320, 179/737, 716/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/320, 179/737, 716/833 quickly i.e. 32220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/320, 179/737, 716/833 is 32220.

LCM(45/320, 179/737, 716/833) = 32220

LCM of 45/320, 179/737, 716/833

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 45/320,179/737,716/833

Given numbers are 45/320,179/737,716/833

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 45,179,716

Least Common Multiple of Numerators i.e. LCM of 45,179,716 is 32220.

GCF of Denominators means GCF of 320,737,833 as per the given fractions.

GCF of 320,737,833 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,179,716

LCM of Fractions 45/320,179/737,716/833 is 32220

179 45, 179, 716
45, 1, 4

∴ So the LCM of the given numbers is 179 x 45 x 1 x 4 = 32220

Least Common Multiple of 45,179,716 with GCF Formula

Least Common Multiple of 45,179,716 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 45,179,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,179,716) = 1

common factors(in case of two or more numbers have common factors) = 179

GCF(45,179,716) x common factors =1 x 179 = 179

LCM(45,179,716) = ( 45 × 179 × 716 ) / 179

LCM(45,179,716) = 5767380 / 179

LCM(45,179,716) = 32220


Lets's calculate GCF of 320,737,833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32220/1

Therefore the LCM of Fractions 45/320,179/737,716/833 is 32220

Greatest Common Factor of 320,737,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,737,833 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 737

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

1,11,67,737

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Greatest Common Factor

We found the factors 320,737,833 . The biggest common factor number is the GCF number.
So the greatest common factor 320,737,833 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 45/320, 179/737, 716/833

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 45/320, 179/737, 716/833?

Answer: LCM of Numerators as per given numbers 45/320, 179/737, 716/833 is

LCM of Numerators i.e. for 45,179,716 is 32220

GCF of denominators i.e. for 320,737,833 is 1.

Thus, LCM of Fractions is 32220.Finally, LCM of Fractions for 45/320, 179/737, 716/833 is 32220.