Least Common Multiple of 13/25, 814/74, 192/63

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/25, 814/74, 192/63 quickly i.e. 1015872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/25, 814/74, 192/63 is 1015872.

LCM(13/25, 814/74, 192/63) = 1015872

LCM of 13/25, 814/74, 192/63

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 13/25,814/74,192/63

Given numbers are 13/25,814/74,192/63

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 13,814,192

Least Common Multiple of Numerators i.e. LCM of 13,814,192 is 1015872.

GCF of Denominators means GCF of 25,74,63 as per the given fractions.

GCF of 25,74,63 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,814,192

LCM of Fractions 13/25,814/74,192/63 is 1015872

2 13, 814, 192
13, 407, 96

∴ So the LCM of the given numbers is 2 x 13 x 407 x 96 = 1015872

Least Common Multiple of 13,814,192 with GCF Formula

Least Common Multiple of 13,814,192 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 13,814,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,814,192) = 1

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

GCF(13,814,192) x common factors =1 x 2 = 2

LCM(13,814,192) = ( 13 × 814 × 192 ) / 2

LCM(13,814,192) = 2031744 / 2

LCM(13,814,192) = 1015872


Lets's calculate GCF of 25,74,63

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1015872/1

Therefore the LCM of Fractions 13/25,814/74,192/63 is 1015872

Greatest Common Factor of 25,74,63 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,74,63 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Greatest Common Factor

We found the factors 25,74,63 . The biggest common factor number is the GCF number.
So the greatest common factor 25,74,63 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/25, 814/74, 192/63

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 13/25, 814/74, 192/63?

Answer: LCM of Numerators as per given numbers 13/25, 814/74, 192/63 is

LCM of Numerators i.e. for 13,814,192 is 1015872

GCF of denominators i.e. for 25,74,63 is 1.

Thus, LCM of Fractions is 1015872.Finally, LCM of Fractions for 13/25, 814/74, 192/63 is 1015872.