Least Common Multiple of 85/871, 22/377, 645/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 85/871, 22/377, 645/248 quickly i.e. 241230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/871, 22/377, 645/248 is 241230.

LCM(85/871, 22/377, 645/248) = 241230

LCM of 85/871, 22/377, 645/248

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 85/871,22/377,645/248

Given numbers are 85/871,22/377,645/248

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 85,22,645

Least Common Multiple of Numerators i.e. LCM of 85,22,645 is 241230.

GCF of Denominators means GCF of 871,377,248 as per the given fractions.

GCF of 871,377,248 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,22,645

LCM of Fractions 85/871,22/377,645/248 is 241230

5 85, 22, 645
17, 22, 129

∴ So the LCM of the given numbers is 5 x 17 x 22 x 129 = 241230

Least Common Multiple of 85,22,645 with GCF Formula

Least Common Multiple of 85,22,645 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 85,22,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,22,645) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,22,645) x common factors =1 x 5 = 5

LCM(85,22,645) = ( 85 × 22 × 645 ) / 5

LCM(85,22,645) = 1206150 / 5

LCM(85,22,645) = 241230


Lets's calculate GCF of 871,377,248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241230/1

Therefore the LCM of Fractions 85/871,22/377,645/248 is 241230

Greatest Common Factor of 871,377,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,377,248 By Matching Biggest Common Factor Method

Factors of 871

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

1,13,67,871

Factors of 377

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

1,13,29,377

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 871,377,248 . The biggest common factor number is the GCF number.
So the greatest common factor 871,377,248 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 85/871, 22/377, 645/248

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 85/871, 22/377, 645/248?

Answer: LCM of Numerators as per given numbers 85/871, 22/377, 645/248 is

LCM of Numerators i.e. for 85,22,645 is 241230

GCF of denominators i.e. for 871,377,248 is 1.

Thus, LCM of Fractions is 241230.Finally, LCM of Fractions for 85/871, 22/377, 645/248 is 241230.