Least Common Multiple of 69/320, 272/32, 874/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/320, 272/32, 874/830 quickly i.e. 178296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/320, 272/32, 874/830 is 178296.

LCM(69/320, 272/32, 874/830) = 178296

LCM of 69/320, 272/32, 874/830

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 69/320,272/32,874/830

Given numbers are 69/320,272/32,874/830

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 69,272,874

Least Common Multiple of Numerators i.e. LCM of 69,272,874 is 356592.

GCF of Denominators means GCF of 320,32,830 as per the given fractions.

GCF of 320,32,830 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,272,874

LCM of Fractions 69/320,272/32,874/830 is 178296

2 69, 272, 874
23 69, 136, 437
3, 136, 19

∴ So the LCM of the given numbers is 2 x 23 x 3 x 136 x 19 = 356592

Least Common Multiple of 69,272,874 with GCF Formula

Least Common Multiple of 69,272,874 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 69,272,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,272,874) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(69,272,874) x common factors =1 x 46 = 46

LCM(69,272,874) = ( 69 × 272 × 874 ) / 46

LCM(69,272,874) = 16403232 / 46

LCM(69,272,874) = 356592


Lets's calculate GCF of 320,32,830

2 320, 32, 830
160, 16, 415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 356592/2

Therefore the LCM of Fractions 69/320,272/32,874/830 is 178296

Greatest Common Factor of 320,32,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,32,830 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 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 320,32,830 . The biggest common factor number is the GCF number.
So the greatest common factor 320,32,830 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 69/320, 272/32, 874/830

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 69/320, 272/32, 874/830?

Answer: LCM of Numerators as per given numbers 69/320, 272/32, 874/830 is

LCM of Numerators i.e. for 69,272,874 is 356592

GCF of denominators i.e. for 320,32,830 is 2.

Thus, LCM of Fractions is 178296.Finally, LCM of Fractions for 69/320, 272/32, 874/830 is 178296.