Least Common Multiple of 14/324, 708/621, 878/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 14/324, 708/621, 878/255 quickly i.e. 725228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/324, 708/621, 878/255 is 725228.

LCM(14/324, 708/621, 878/255) = 725228

LCM of 14/324, 708/621, 878/255

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 14/324,708/621,878/255

Given numbers are 14/324,708/621,878/255

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 14,708,878

Least Common Multiple of Numerators i.e. LCM of 14,708,878 is 2175684.

GCF of Denominators means GCF of 324,621,255 as per the given fractions.

GCF of 324,621,255 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,708,878

LCM of Fractions 14/324,708/621,878/255 is 725228

2 14, 708, 878
7, 354, 439

∴ So the LCM of the given numbers is 2 x 7 x 354 x 439 = 2175684

Least Common Multiple of 14,708,878 with GCF Formula

Least Common Multiple of 14,708,878 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 14,708,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,708,878) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(14,708,878) x common factors =2 x 2 = 4

LCM(14,708,878) = ( 14 × 708 × 878 ) / 4

LCM(14,708,878) = 8702736 / 4

LCM(14,708,878) = 2175684


Lets's calculate GCF of 324,621,255

3 324, 621, 255
108, 207, 85

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2175684/3

Therefore the LCM of Fractions 14/324,708/621,878/255 is 725228

Greatest Common Factor of 324,621,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,621,255 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 324,621,255 . The biggest common factor number is the GCF number.
So the greatest common factor 324,621,255 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 14/324, 708/621, 878/255

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 14/324, 708/621, 878/255?

Answer: LCM of Numerators as per given numbers 14/324, 708/621, 878/255 is

LCM of Numerators i.e. for 14,708,878 is 2175684

GCF of denominators i.e. for 324,621,255 is 3.

Thus, LCM of Fractions is 725228.Finally, LCM of Fractions for 14/324, 708/621, 878/255 is 725228.