Least Common Multiple of 171/52, 418/78, 796/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 171/52, 418/78, 796/871 quickly i.e. 1497276/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 171/52, 418/78, 796/871 is 1497276/13.

LCM(171/52, 418/78, 796/871) = 1497276/13

LCM of 171/52, 418/78, 796/871

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 171/52,418/78,796/871

Given numbers are 171/52,418/78,796/871

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 171,418,796

Least Common Multiple of Numerators i.e. LCM of 171,418,796 is 1497276.

GCF of Denominators means GCF of 52,78,871 as per the given fractions.

GCF of 52,78,871 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 171,418,796

LCM of Fractions 171/52,418/78,796/871 is 1497276/13

2 171, 418, 796
19 171, 209, 398
9, 11, 398

∴ So the LCM of the given numbers is 2 x 19 x 9 x 11 x 398 = 1497276

Least Common Multiple of 171,418,796 with GCF Formula

Least Common Multiple of 171,418,796 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 171,418,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,418,796) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(171,418,796) x common factors =1 x 38 = 38

LCM(171,418,796) = ( 171 × 418 × 796 ) / 38

LCM(171,418,796) = 56896488 / 38

LCM(171,418,796) = 1497276


Lets's calculate GCF of 52,78,871

13 52, 78, 871
4, 6, 67

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1497276/13

Therefore the LCM of Fractions 171/52,418/78,796/871 is 1497276/13

Greatest Common Factor of 52,78,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,78,871 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 52,78,871 . The biggest common factor number is the GCF number.
So the greatest common factor 52,78,871 is 13.


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 171/52, 418/78, 796/871

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 171/52, 418/78, 796/871?

Answer: LCM of Numerators as per given numbers 171/52, 418/78, 796/871 is

LCM of Numerators i.e. for 171,418,796 is 1497276

GCF of denominators i.e. for 52,78,871 is 13.

Thus, LCM of Fractions is 1497276/13.Finally, LCM of Fractions for 171/52, 418/78, 796/871 is 1497276/13.