Least Common Multiple of 3854/170, 8768/3977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3854/170, 8768/3977 quickly i.e. 16895936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3854/170, 8768/3977 is 16895936.

LCM(3854/170, 8768/3977) = 16895936

LCM of 3854/170, 8768/3977

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 3854/170,8768/3977

Given numbers are 3854/170,8768/3977

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 3854,8768

Least Common Multiple of Numerators i.e. LCM of 3854,8768 is 16895936.

GCF of Denominators means GCF of 170,3977 as per the given fractions.

GCF of 170,3977 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3854,8768

LCM of Fractions 3854/170,8768/3977 is 16895936

2 3854, 8768
1927, 4384

∴ So the LCM of the given numbers is 2 x 1927 x 4384 = 16895936

Least Common Multiple of 3854,8768 with GCF Formula

Least Common Multiple of 3854,8768 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 3854,8768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3854,8768) = 2

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

GCF(3854,8768) x common factors =2 x 1 = 2

LCM(3854,8768) = ( 3854 × 8768 ) / 2

LCM(3854,8768) = 33791872 / 2

LCM(3854,8768) = 16895936


Lets's calculate GCF of 170,3977

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16895936/1

Therefore the LCM of Fractions 3854/170,8768/3977 is 16895936

Greatest Common Factor of 170,3977 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,3977 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 3977

List of positive integer factors of 3977 that divides 3977 without a remainder.

1,41,97,3977

Greatest Common Factor

We found the factors 170,3977 . The biggest common factor number is the GCF number.
So the greatest common factor 170,3977 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 3854/170, 8768/3977

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 3854/170, 8768/3977?

Answer: LCM of Numerators as per given numbers 3854/170, 8768/3977 is

LCM of Numerators i.e. for 3854,8768 is 16895936

GCF of denominators i.e. for 170,3977 is 1.

Thus, LCM of Fractions is 16895936.Finally, LCM of Fractions for 3854/170, 8768/3977 is 16895936.