Least Common Multiple of 33/140, 662/767, 173/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/140, 662/767, 173/560 quickly i.e. 3779358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/140, 662/767, 173/560 is 3779358.

LCM(33/140, 662/767, 173/560) = 3779358

LCM of 33/140, 662/767, 173/560

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 33/140,662/767,173/560

Given numbers are 33/140,662/767,173/560

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 33,662,173

Least Common Multiple of Numerators i.e. LCM of 33,662,173 is 3779358.

GCF of Denominators means GCF of 140,767,560 as per the given fractions.

GCF of 140,767,560 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,662,173

LCM of Fractions 33/140,662/767,173/560 is 3779358

Given numbers has no common factors except 1. So, there LCM is their product i.e 3779358

Least Common Multiple of 33,662,173 with GCF Formula

Least Common Multiple of 33,662,173 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 33,662,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,662,173) = 1

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

GCF(33,662,173) x common factors =1 x 1 = 1

LCM(33,662,173) = ( 33 × 662 × 173 ) / 1

LCM(33,662,173) = 3779358 / 1

LCM(33,662,173) = 3779358


Lets's calculate GCF of 140,767,560

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3779358/1

Therefore the LCM of Fractions 33/140,662/767,173/560 is 3779358

Greatest Common Factor of 140,767,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,767,560 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 140,767,560 . The biggest common factor number is the GCF number.
So the greatest common factor 140,767,560 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 33/140, 662/767, 173/560

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 33/140, 662/767, 173/560?

Answer: LCM of Numerators as per given numbers 33/140, 662/767, 173/560 is

LCM of Numerators i.e. for 33,662,173 is 3779358

GCF of denominators i.e. for 140,767,560 is 1.

Thus, LCM of Fractions is 3779358.Finally, LCM of Fractions for 33/140, 662/767, 173/560 is 3779358.