Least Common Multiple of 1744/44, 5023/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1744/44, 5023/169 quickly i.e. 8760112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1744/44, 5023/169 is 8760112.

LCM(1744/44, 5023/169) = 8760112

LCM of 1744/44, 5023/169

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 1744/44,5023/169

Given numbers are 1744/44,5023/169

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 1744,5023

Least Common Multiple of Numerators i.e. LCM of 1744,5023 is 8760112.

GCF of Denominators means GCF of 44,169 as per the given fractions.

GCF of 44,169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1744,5023

LCM of Fractions 1744/44,5023/169 is 8760112

Given numbers has no common factors except 1. So, there LCM is their product i.e 8760112

Least Common Multiple of 1744,5023 with GCF Formula

Least Common Multiple of 1744,5023 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 1744,5023 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1744,5023) = 1

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

GCF(1744,5023) x common factors =1 x 1 = 1

LCM(1744,5023) = ( 1744 × 5023 ) / 1

LCM(1744,5023) = 8760112 / 1

LCM(1744,5023) = 8760112


Lets's calculate GCF of 44,169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8760112/1

Therefore the LCM of Fractions 1744/44,5023/169 is 8760112

Greatest Common Factor of 44,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,169 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 44,169 . The biggest common factor number is the GCF number.
So the greatest common factor 44,169 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 1744/44, 5023/169

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 1744/44, 5023/169?

Answer: LCM of Numerators as per given numbers 1744/44, 5023/169 is

LCM of Numerators i.e. for 1744,5023 is 8760112

GCF of denominators i.e. for 44,169 is 1.

Thus, LCM of Fractions is 8760112.Finally, LCM of Fractions for 1744/44, 5023/169 is 8760112.