Least Common Multiple of 163/345, 3496/5119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 163/345, 3496/5119 quickly i.e. 569848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 163/345, 3496/5119 is 569848.

LCM(163/345, 3496/5119) = 569848

LCM of 163/345, 3496/5119

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 163/345,3496/5119

Given numbers are 163/345,3496/5119

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 163,3496

Least Common Multiple of Numerators i.e. LCM of 163,3496 is 569848.

GCF of Denominators means GCF of 345,5119 as per the given fractions.

GCF of 345,5119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 163,3496

LCM of Fractions 163/345,3496/5119 is 569848

Given numbers has no common factors except 1. So, there LCM is their product i.e 569848

Least Common Multiple of 163,3496 with GCF Formula

Least Common Multiple of 163,3496 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 163,3496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,3496) = 1

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

GCF(163,3496) x common factors =1 x 1 = 1

LCM(163,3496) = ( 163 × 3496 ) / 1

LCM(163,3496) = 569848 / 1

LCM(163,3496) = 569848


Lets's calculate GCF of 345,5119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 569848/1

Therefore the LCM of Fractions 163/345,3496/5119 is 569848

Greatest Common Factor of 345,5119 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,5119 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 5119

List of positive integer factors of 5119 that divides 5119 without a remainder.

1,5119

Greatest Common Factor

We found the factors 345,5119 . The biggest common factor number is the GCF number.
So the greatest common factor 345,5119 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 163/345, 3496/5119

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 163/345, 3496/5119?

Answer: LCM of Numerators as per given numbers 163/345, 3496/5119 is

LCM of Numerators i.e. for 163,3496 is 569848

GCF of denominators i.e. for 345,5119 is 1.

Thus, LCM of Fractions is 569848.Finally, LCM of Fractions for 163/345, 3496/5119 is 569848.