Least Common Multiple of 177/47, 3765/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 177/47, 3765/916 quickly i.e. 222135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 177/47, 3765/916 is 222135.

LCM(177/47, 3765/916) = 222135

LCM of 177/47, 3765/916

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 177/47,3765/916

Given numbers are 177/47,3765/916

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 177,3765

Least Common Multiple of Numerators i.e. LCM of 177,3765 is 222135.

GCF of Denominators means GCF of 47,916 as per the given fractions.

GCF of 47,916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 177,3765

LCM of Fractions 177/47,3765/916 is 222135

3 177, 3765
59, 1255

∴ So the LCM of the given numbers is 3 x 59 x 1255 = 222135

Least Common Multiple of 177,3765 with GCF Formula

Least Common Multiple of 177,3765 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 177,3765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,3765) = 3

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

GCF(177,3765) x common factors =3 x 1 = 3

LCM(177,3765) = ( 177 × 3765 ) / 3

LCM(177,3765) = 666405 / 3

LCM(177,3765) = 222135


Lets's calculate GCF of 47,916

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 222135/1

Therefore the LCM of Fractions 177/47,3765/916 is 222135

Greatest Common Factor of 47,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,916 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 47,916 . The biggest common factor number is the GCF number.
So the greatest common factor 47,916 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 177/47, 3765/916

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 177/47, 3765/916?

Answer: LCM of Numerators as per given numbers 177/47, 3765/916 is

LCM of Numerators i.e. for 177,3765 is 222135

GCF of denominators i.e. for 47,916 is 1.

Thus, LCM of Fractions is 222135.Finally, LCM of Fractions for 177/47, 3765/916 is 222135.