Least Common Multiple of 169/13, 343/1598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 169/13, 343/1598 quickly i.e. 57967 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 169/13, 343/1598 is 57967.

LCM(169/13, 343/1598) = 57967

LCM of 169/13, 343/1598

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 169/13,343/1598

Given numbers are 169/13,343/1598

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 169,343

Least Common Multiple of Numerators i.e. LCM of 169,343 is 57967.

GCF of Denominators means GCF of 13,1598 as per the given fractions.

GCF of 13,1598 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 169,343

LCM of Fractions 169/13,343/1598 is 57967

Given numbers has no common factors except 1. So, there LCM is their product i.e 57967

Least Common Multiple of 169,343 with GCF Formula

Least Common Multiple of 169,343 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 169,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,343) = 1

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

GCF(169,343) x common factors =1 x 1 = 1

LCM(169,343) = ( 169 × 343 ) / 1

LCM(169,343) = 57967 / 1

LCM(169,343) = 57967


Lets's calculate GCF of 13,1598

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57967/1

Therefore the LCM of Fractions 169/13,343/1598 is 57967

Greatest Common Factor of 13,1598 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,1598 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 1598

List of positive integer factors of 1598 that divides 1598 without a remainder.

1,2,17,34,47,94,799,1598

Greatest Common Factor

We found the factors 13,1598 . The biggest common factor number is the GCF number.
So the greatest common factor 13,1598 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 169/13, 343/1598

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 169/13, 343/1598?

Answer: LCM of Numerators as per given numbers 169/13, 343/1598 is

LCM of Numerators i.e. for 169,343 is 57967

GCF of denominators i.e. for 13,1598 is 1.

Thus, LCM of Fractions is 57967.Finally, LCM of Fractions for 169/13, 343/1598 is 57967.