Least Common Multiple of 3814/614, 3689/7370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3814/614, 3689/7370 quickly i.e. 7034923 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3814/614, 3689/7370 is 7034923.

LCM(3814/614, 3689/7370) = 7034923

LCM of 3814/614, 3689/7370

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 3814/614,3689/7370

Given numbers are 3814/614,3689/7370

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 3814,3689

Least Common Multiple of Numerators i.e. LCM of 3814,3689 is 14069846.

GCF of Denominators means GCF of 614,7370 as per the given fractions.

GCF of 614,7370 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3814,3689

LCM of Fractions 3814/614,3689/7370 is 7034923

Given numbers has no common factors except 1. So, there LCM is their product i.e 14069846

Least Common Multiple of 3814,3689 with GCF Formula

Least Common Multiple of 3814,3689 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 3814,3689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3814,3689) = 1

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

GCF(3814,3689) x common factors =1 x 1 = 1

LCM(3814,3689) = ( 3814 × 3689 ) / 1

LCM(3814,3689) = 14069846 / 1

LCM(3814,3689) = 14069846


Lets's calculate GCF of 614,7370

2 614, 7370
307, 3685

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14069846/2

Therefore the LCM of Fractions 3814/614,3689/7370 is 7034923

Greatest Common Factor of 614,7370 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,7370 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 7370

List of positive integer factors of 7370 that divides 7370 without a remainder.

1,2,5,10,11,22,55,67,110,134,335,670,737,1474,3685,7370

Greatest Common Factor

We found the factors 614,7370 . The biggest common factor number is the GCF number.
So the greatest common factor 614,7370 is 2.


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 3814/614, 3689/7370

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 3814/614, 3689/7370?

Answer: LCM of Numerators as per given numbers 3814/614, 3689/7370 is

LCM of Numerators i.e. for 3814,3689 is 14069846

GCF of denominators i.e. for 614,7370 is 2.

Thus, LCM of Fractions is 7034923.Finally, LCM of Fractions for 3814/614, 3689/7370 is 7034923.