Least Common Multiple of 5082/385, 1909/3160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5082/385, 1909/3160 quickly i.e. 9701538/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5082/385, 1909/3160 is 9701538/5.

LCM(5082/385, 1909/3160) = 9701538/5

LCM of 5082/385, 1909/3160

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 5082/385,1909/3160

Given numbers are 5082/385,1909/3160

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 5082,1909

Least Common Multiple of Numerators i.e. LCM of 5082,1909 is 9701538.

GCF of Denominators means GCF of 385,3160 as per the given fractions.

GCF of 385,3160 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5082,1909

LCM of Fractions 5082/385,1909/3160 is 9701538/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 9701538

Least Common Multiple of 5082,1909 with GCF Formula

Least Common Multiple of 5082,1909 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 5082,1909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5082,1909) = 1

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

GCF(5082,1909) x common factors =1 x 1 = 1

LCM(5082,1909) = ( 5082 × 1909 ) / 1

LCM(5082,1909) = 9701538 / 1

LCM(5082,1909) = 9701538


Lets's calculate GCF of 385,3160

5 385, 3160
77, 632

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9701538/5

Therefore the LCM of Fractions 5082/385,1909/3160 is 9701538/5

Greatest Common Factor of 385,3160 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,3160 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 3160

List of positive integer factors of 3160 that divides 3160 without a remainder.

1,2,4,5,8,10,20,40,79,158,316,395,632,790,1580,3160

Greatest Common Factor

We found the factors 385,3160 . The biggest common factor number is the GCF number.
So the greatest common factor 385,3160 is 5.


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 5082/385, 1909/3160

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 5082/385, 1909/3160?

Answer: LCM of Numerators as per given numbers 5082/385, 1909/3160 is

LCM of Numerators i.e. for 5082,1909 is 9701538

GCF of denominators i.e. for 385,3160 is 5.

Thus, LCM of Fractions is 9701538/5.Finally, LCM of Fractions for 5082/385, 1909/3160 is 9701538/5.