Least Common Multiple of 1938/509, 8214/3710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1938/509, 8214/3710 quickly i.e. 2653122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1938/509, 8214/3710 is 2653122.

LCM(1938/509, 8214/3710) = 2653122

LCM of 1938/509, 8214/3710

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 1938/509,8214/3710

Given numbers are 1938/509,8214/3710

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 1938,8214

Least Common Multiple of Numerators i.e. LCM of 1938,8214 is 2653122.

GCF of Denominators means GCF of 509,3710 as per the given fractions.

GCF of 509,3710 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1938,8214

LCM of Fractions 1938/509,8214/3710 is 2653122

2 1938, 8214
3 969, 4107
323, 1369

∴ So the LCM of the given numbers is 2 x 3 x 323 x 1369 = 2653122

Least Common Multiple of 1938,8214 with GCF Formula

Least Common Multiple of 1938,8214 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 1938,8214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1938,8214) = 6

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

GCF(1938,8214) x common factors =6 x 1 = 6

LCM(1938,8214) = ( 1938 × 8214 ) / 6

LCM(1938,8214) = 15918732 / 6

LCM(1938,8214) = 2653122


Lets's calculate GCF of 509,3710

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2653122/1

Therefore the LCM of Fractions 1938/509,8214/3710 is 2653122

Greatest Common Factor of 509,3710 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,3710 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 3710

List of positive integer factors of 3710 that divides 3710 without a remainder.

1,2,5,7,10,14,35,53,70,106,265,371,530,742,1855,3710

Greatest Common Factor

We found the factors 509,3710 . The biggest common factor number is the GCF number.
So the greatest common factor 509,3710 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 1938/509, 8214/3710

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 1938/509, 8214/3710?

Answer: LCM of Numerators as per given numbers 1938/509, 8214/3710 is

LCM of Numerators i.e. for 1938,8214 is 2653122

GCF of denominators i.e. for 509,3710 is 1.

Thus, LCM of Fractions is 2653122.Finally, LCM of Fractions for 1938/509, 8214/3710 is 2653122.