Least Common Multiple of 412/51, 511/74, 512/247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/51, 511/74, 512/247 quickly i.e. 26948096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/51, 511/74, 512/247 is 26948096.

LCM(412/51, 511/74, 512/247) = 26948096

LCM of 412/51, 511/74, 512/247

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 412/51,511/74,512/247

Given numbers are 412/51,511/74,512/247

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 412,511,512

Least Common Multiple of Numerators i.e. LCM of 412,511,512 is 26948096.

GCF of Denominators means GCF of 51,74,247 as per the given fractions.

GCF of 51,74,247 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,511,512

LCM of Fractions 412/51,511/74,512/247 is 26948096

2 412, 511, 512
2 206, 511, 256
103, 511, 128

∴ So the LCM of the given numbers is 2 x 2 x 103 x 511 x 128 = 26948096

Least Common Multiple of 412,511,512 with GCF Formula

Least Common Multiple of 412,511,512 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 412,511,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,511,512) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(412,511,512) x common factors =1 x 4 = 4

LCM(412,511,512) = ( 412 × 511 × 512 ) / 4

LCM(412,511,512) = 107792384 / 4

LCM(412,511,512) = 26948096


Lets's calculate GCF of 51,74,247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26948096/1

Therefore the LCM of Fractions 412/51,511/74,512/247 is 26948096

Greatest Common Factor of 51,74,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,74,247 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 74

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

1,2,37,74

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Greatest Common Factor

We found the factors 51,74,247 . The biggest common factor number is the GCF number.
So the greatest common factor 51,74,247 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 412/51, 511/74, 512/247

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 412/51, 511/74, 512/247?

Answer: LCM of Numerators as per given numbers 412/51, 511/74, 512/247 is

LCM of Numerators i.e. for 412,511,512 is 26948096

GCF of denominators i.e. for 51,74,247 is 1.

Thus, LCM of Fractions is 26948096.Finally, LCM of Fractions for 412/51, 511/74, 512/247 is 26948096.