Least Common Multiple of 177/77, 320/3874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 177/77, 320/3874 quickly i.e. 56640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 177/77, 320/3874 is 56640.

LCM(177/77, 320/3874) = 56640

LCM of 177/77, 320/3874

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 177/77,320/3874

Given numbers are 177/77,320/3874

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 177,320

Least Common Multiple of Numerators i.e. LCM of 177,320 is 56640.

GCF of Denominators means GCF of 77,3874 as per the given fractions.

GCF of 77,3874 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 177,320

LCM of Fractions 177/77,320/3874 is 56640

Given numbers has no common factors except 1. So, there LCM is their product i.e 56640

Least Common Multiple of 177,320 with GCF Formula

Least Common Multiple of 177,320 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 177,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,320) = 1

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

GCF(177,320) x common factors =1 x 1 = 1

LCM(177,320) = ( 177 × 320 ) / 1

LCM(177,320) = 56640 / 1

LCM(177,320) = 56640


Lets's calculate GCF of 77,3874

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56640/1

Therefore the LCM of Fractions 177/77,320/3874 is 56640

Greatest Common Factor of 77,3874 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,3874 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 3874

List of positive integer factors of 3874 that divides 3874 without a remainder.

1,2,13,26,149,298,1937,3874

Greatest Common Factor

We found the factors 77,3874 . The biggest common factor number is the GCF number.
So the greatest common factor 77,3874 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 177/77, 320/3874

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 177/77, 320/3874?

Answer: LCM of Numerators as per given numbers 177/77, 320/3874 is

LCM of Numerators i.e. for 177,320 is 56640

GCF of denominators i.e. for 77,3874 is 1.

Thus, LCM of Fractions is 56640.Finally, LCM of Fractions for 177/77, 320/3874 is 56640.