Least Common Multiple of 175/377, 771/271, 738/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 175/377, 771/271, 738/960 quickly i.e. 33191550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 175/377, 771/271, 738/960 is 33191550.

LCM(175/377, 771/271, 738/960) = 33191550

LCM of 175/377, 771/271, 738/960

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 175/377,771/271,738/960

Given numbers are 175/377,771/271,738/960

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 175,771,738

Least Common Multiple of Numerators i.e. LCM of 175,771,738 is 33191550.

GCF of Denominators means GCF of 377,271,960 as per the given fractions.

GCF of 377,271,960 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 175,771,738

LCM of Fractions 175/377,771/271,738/960 is 33191550

3 175, 771, 738
175, 257, 246

∴ So the LCM of the given numbers is 3 x 175 x 257 x 246 = 33191550

Least Common Multiple of 175,771,738 with GCF Formula

Least Common Multiple of 175,771,738 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 175,771,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,771,738) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(175,771,738) x common factors =1 x 3 = 3

LCM(175,771,738) = ( 175 × 771 × 738 ) / 3

LCM(175,771,738) = 99574650 / 3

LCM(175,771,738) = 33191550


Lets's calculate GCF of 377,271,960

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33191550/1

Therefore the LCM of Fractions 175/377,771/271,738/960 is 33191550

Greatest Common Factor of 377,271,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,271,960 By Matching Biggest Common Factor Method

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 377,271,960 . The biggest common factor number is the GCF number.
So the greatest common factor 377,271,960 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 175/377, 771/271, 738/960

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 175/377, 771/271, 738/960?

Answer: LCM of Numerators as per given numbers 175/377, 771/271, 738/960 is

LCM of Numerators i.e. for 175,771,738 is 33191550

GCF of denominators i.e. for 377,271,960 is 1.

Thus, LCM of Fractions is 33191550.Finally, LCM of Fractions for 175/377, 771/271, 738/960 is 33191550.