Least Common Multiple of 371/26, 511/48, 419/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 371/26, 511/48, 419/454 quickly i.e. 11347777/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 371/26, 511/48, 419/454 is 11347777/2.

LCM(371/26, 511/48, 419/454) = 11347777/2

LCM of 371/26, 511/48, 419/454

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 371/26,511/48,419/454

Given numbers are 371/26,511/48,419/454

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 371,511,419

Least Common Multiple of Numerators i.e. LCM of 371,511,419 is 11347777.

GCF of Denominators means GCF of 26,48,454 as per the given fractions.

GCF of 26,48,454 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 371,511,419

LCM of Fractions 371/26,511/48,419/454 is 11347777/2

7 371, 511, 419
53, 73, 419

∴ So the LCM of the given numbers is 7 x 53 x 73 x 419 = 11347777

Least Common Multiple of 371,511,419 with GCF Formula

Least Common Multiple of 371,511,419 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 371,511,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,511,419) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(371,511,419) x common factors =1 x 7 = 7

LCM(371,511,419) = ( 371 × 511 × 419 ) / 7

LCM(371,511,419) = 79434439 / 7

LCM(371,511,419) = 11347777


Lets's calculate GCF of 26,48,454

2 26, 48, 454
13, 24, 227

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11347777/2

Therefore the LCM of Fractions 371/26,511/48,419/454 is 11347777/2

Greatest Common Factor of 26,48,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,48,454 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 26,48,454 . The biggest common factor number is the GCF number.
So the greatest common factor 26,48,454 is 2.


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 371/26, 511/48, 419/454

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 371/26, 511/48, 419/454?

Answer: LCM of Numerators as per given numbers 371/26, 511/48, 419/454 is

LCM of Numerators i.e. for 371,511,419 is 11347777

GCF of denominators i.e. for 26,48,454 is 2.

Thus, LCM of Fractions is 11347777/2.Finally, LCM of Fractions for 371/26, 511/48, 419/454 is 11347777/2.