Least Common Multiple of 3774/738, 3069/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3774/738, 3069/689 quickly i.e. 3860802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3774/738, 3069/689 is 3860802.

LCM(3774/738, 3069/689) = 3860802

LCM of 3774/738, 3069/689

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 3774/738,3069/689

Given numbers are 3774/738,3069/689

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 3774,3069

Least Common Multiple of Numerators i.e. LCM of 3774,3069 is 3860802.

GCF of Denominators means GCF of 738,689 as per the given fractions.

GCF of 738,689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3774,3069

LCM of Fractions 3774/738,3069/689 is 3860802

3 3774, 3069
1258, 1023

∴ So the LCM of the given numbers is 3 x 1258 x 1023 = 3860802

Least Common Multiple of 3774,3069 with GCF Formula

Least Common Multiple of 3774,3069 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 3774,3069 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3774,3069) = 3

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

GCF(3774,3069) x common factors =3 x 1 = 3

LCM(3774,3069) = ( 3774 × 3069 ) / 3

LCM(3774,3069) = 11582406 / 3

LCM(3774,3069) = 3860802


Lets's calculate GCF of 738,689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3860802/1

Therefore the LCM of Fractions 3774/738,3069/689 is 3860802

Greatest Common Factor of 738,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,689 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 738,689 . The biggest common factor number is the GCF number.
So the greatest common factor 738,689 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 3774/738, 3069/689

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 3774/738, 3069/689?

Answer: LCM of Numerators as per given numbers 3774/738, 3069/689 is

LCM of Numerators i.e. for 3774,3069 is 3860802

GCF of denominators i.e. for 738,689 is 1.

Thus, LCM of Fractions is 3860802.Finally, LCM of Fractions for 3774/738, 3069/689 is 3860802.