Least Common Multiple of 3729/908, 4142/8702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3729/908, 4142/8702 quickly i.e. 7722759 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3729/908, 4142/8702 is 7722759.

LCM(3729/908, 4142/8702) = 7722759

LCM of 3729/908, 4142/8702

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 3729/908,4142/8702

Given numbers are 3729/908,4142/8702

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 3729,4142

Least Common Multiple of Numerators i.e. LCM of 3729,4142 is 15445518.

GCF of Denominators means GCF of 908,8702 as per the given fractions.

GCF of 908,8702 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3729,4142

LCM of Fractions 3729/908,4142/8702 is 7722759

Given numbers has no common factors except 1. So, there LCM is their product i.e 15445518

Least Common Multiple of 3729,4142 with GCF Formula

Least Common Multiple of 3729,4142 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 3729,4142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3729,4142) = 1

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

GCF(3729,4142) x common factors =1 x 1 = 1

LCM(3729,4142) = ( 3729 × 4142 ) / 1

LCM(3729,4142) = 15445518 / 1

LCM(3729,4142) = 15445518


Lets's calculate GCF of 908,8702

2 908, 8702
454, 4351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15445518/2

Therefore the LCM of Fractions 3729/908,4142/8702 is 7722759

Greatest Common Factor of 908,8702 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,8702 By Matching Biggest Common Factor Method

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 8702

List of positive integer factors of 8702 that divides 8702 without a remainder.

1,2,19,38,229,458,4351,8702

Greatest Common Factor

We found the factors 908,8702 . The biggest common factor number is the GCF number.
So the greatest common factor 908,8702 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 3729/908, 4142/8702

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 3729/908, 4142/8702?

Answer: LCM of Numerators as per given numbers 3729/908, 4142/8702 is

LCM of Numerators i.e. for 3729,4142 is 15445518

GCF of denominators i.e. for 908,8702 is 2.

Thus, LCM of Fractions is 7722759.Finally, LCM of Fractions for 3729/908, 4142/8702 is 7722759.