Least Common Multiple of 871/33, 272/91, 888/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 871/33, 272/91, 888/908 quickly i.e. 26297232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 871/33, 272/91, 888/908 is 26297232.

LCM(871/33, 272/91, 888/908) = 26297232

LCM of 871/33, 272/91, 888/908

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 871/33,272/91,888/908

Given numbers are 871/33,272/91,888/908

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 871,272,888

Least Common Multiple of Numerators i.e. LCM of 871,272,888 is 26297232.

GCF of Denominators means GCF of 33,91,908 as per the given fractions.

GCF of 33,91,908 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 871,272,888

LCM of Fractions 871/33,272/91,888/908 is 26297232

2 871, 272, 888
2 871, 136, 444
2 871, 68, 222
871, 34, 111

∴ So the LCM of the given numbers is 2 x 2 x 2 x 871 x 34 x 111 = 26297232

Least Common Multiple of 871,272,888 with GCF Formula

Least Common Multiple of 871,272,888 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 871,272,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,272,888) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(871,272,888) x common factors =1 x 8 = 8

LCM(871,272,888) = ( 871 × 272 × 888 ) / 8

LCM(871,272,888) = 210377856 / 8

LCM(871,272,888) = 26297232


Lets's calculate GCF of 33,91,908

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26297232/1

Therefore the LCM of Fractions 871/33,272/91,888/908 is 26297232

Greatest Common Factor of 33,91,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,91,908 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 33,91,908 . The biggest common factor number is the GCF number.
So the greatest common factor 33,91,908 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 871/33, 272/91, 888/908

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 871/33, 272/91, 888/908?

Answer: LCM of Numerators as per given numbers 871/33, 272/91, 888/908 is

LCM of Numerators i.e. for 871,272,888 is 26297232

GCF of denominators i.e. for 33,91,908 is 1.

Thus, LCM of Fractions is 26297232.Finally, LCM of Fractions for 871/33, 272/91, 888/908 is 26297232.