Least Common Multiple of 872/431, 848/301, 322/127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 872/431, 848/301, 322/127 quickly i.e. 14881552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/431, 848/301, 322/127 is 14881552.

LCM(872/431, 848/301, 322/127) = 14881552

LCM of 872/431, 848/301, 322/127

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 872/431,848/301,322/127

Given numbers are 872/431,848/301,322/127

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 872,848,322

Least Common Multiple of Numerators i.e. LCM of 872,848,322 is 14881552.

GCF of Denominators means GCF of 431,301,127 as per the given fractions.

GCF of 431,301,127 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,848,322

LCM of Fractions 872/431,848/301,322/127 is 14881552

2 872, 848, 322
2 436, 424, 161
2 218, 212, 161
109, 106, 161

∴ So the LCM of the given numbers is 2 x 2 x 2 x 109 x 106 x 161 = 14881552

Least Common Multiple of 872,848,322 with GCF Formula

Least Common Multiple of 872,848,322 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 872,848,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,848,322) = 2

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

GCF(872,848,322) x common factors =2 x 8 = 16

LCM(872,848,322) = ( 872 × 848 × 322 ) / 16

LCM(872,848,322) = 238104832 / 16

LCM(872,848,322) = 14881552


Lets's calculate GCF of 431,301,127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14881552/1

Therefore the LCM of Fractions 872/431,848/301,322/127 is 14881552

Greatest Common Factor of 431,301,127 By Matching Biggest Common Factor Method

Greatest Common Factor of 431,301,127 By Matching Biggest Common Factor Method

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Greatest Common Factor

We found the factors 431,301,127 . The biggest common factor number is the GCF number.
So the greatest common factor 431,301,127 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 872/431, 848/301, 322/127

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 872/431, 848/301, 322/127?

Answer: LCM of Numerators as per given numbers 872/431, 848/301, 322/127 is

LCM of Numerators i.e. for 872,848,322 is 14881552

GCF of denominators i.e. for 431,301,127 is 1.

Thus, LCM of Fractions is 14881552.Finally, LCM of Fractions for 872/431, 848/301, 322/127 is 14881552.