Least Common Multiple of 160/167, 3298/5835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 160/167, 3298/5835 quickly i.e. 263840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 160/167, 3298/5835 is 263840.

LCM(160/167, 3298/5835) = 263840

LCM of 160/167, 3298/5835

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 160/167,3298/5835

Given numbers are 160/167,3298/5835

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 160,3298

Least Common Multiple of Numerators i.e. LCM of 160,3298 is 263840.

GCF of Denominators means GCF of 167,5835 as per the given fractions.

GCF of 167,5835 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 160,3298

LCM of Fractions 160/167,3298/5835 is 263840

2 160, 3298
80, 1649

∴ So the LCM of the given numbers is 2 x 80 x 1649 = 263840

Least Common Multiple of 160,3298 with GCF Formula

Least Common Multiple of 160,3298 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 160,3298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,3298) = 2

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

GCF(160,3298) x common factors =2 x 1 = 2

LCM(160,3298) = ( 160 × 3298 ) / 2

LCM(160,3298) = 527680 / 2

LCM(160,3298) = 263840


Lets's calculate GCF of 167,5835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263840/1

Therefore the LCM of Fractions 160/167,3298/5835 is 263840

Greatest Common Factor of 167,5835 By Matching Biggest Common Factor Method

Greatest Common Factor of 167,5835 By Matching Biggest Common Factor Method

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 5835

List of positive integer factors of 5835 that divides 5835 without a remainder.

1,3,5,15,389,1167,1945,5835

Greatest Common Factor

We found the factors 167,5835 . The biggest common factor number is the GCF number.
So the greatest common factor 167,5835 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 160/167, 3298/5835

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 160/167, 3298/5835?

Answer: LCM of Numerators as per given numbers 160/167, 3298/5835 is

LCM of Numerators i.e. for 160,3298 is 263840

GCF of denominators i.e. for 167,5835 is 1.

Thus, LCM of Fractions is 263840.Finally, LCM of Fractions for 160/167, 3298/5835 is 263840.