Least Common Multiple of 171/46, 777/1130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 171/46, 777/1130 quickly i.e. 44289/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 171/46, 777/1130 is 44289/2.

LCM(171/46, 777/1130) = 44289/2

LCM of 171/46, 777/1130

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 171/46,777/1130

Given numbers are 171/46,777/1130

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 171,777

Least Common Multiple of Numerators i.e. LCM of 171,777 is 44289.

GCF of Denominators means GCF of 46,1130 as per the given fractions.

GCF of 46,1130 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 171,777

LCM of Fractions 171/46,777/1130 is 44289/2

3 171, 777
57, 259

∴ So the LCM of the given numbers is 3 x 57 x 259 = 44289

Least Common Multiple of 171,777 with GCF Formula

Least Common Multiple of 171,777 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 171,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,777) = 3

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

GCF(171,777) x common factors =3 x 1 = 3

LCM(171,777) = ( 171 × 777 ) / 3

LCM(171,777) = 132867 / 3

LCM(171,777) = 44289


Lets's calculate GCF of 46,1130

2 46, 1130
23, 565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44289/2

Therefore the LCM of Fractions 171/46,777/1130 is 44289/2

Greatest Common Factor of 46,1130 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,1130 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 1130

List of positive integer factors of 1130 that divides 1130 without a remainder.

1,2,5,10,113,226,565,1130

Greatest Common Factor

We found the factors 46,1130 . The biggest common factor number is the GCF number.
So the greatest common factor 46,1130 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 171/46, 777/1130

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 171/46, 777/1130?

Answer: LCM of Numerators as per given numbers 171/46, 777/1130 is

LCM of Numerators i.e. for 171,777 is 44289

GCF of denominators i.e. for 46,1130 is 2.

Thus, LCM of Fractions is 44289/2.Finally, LCM of Fractions for 171/46, 777/1130 is 44289/2.