Least Common Multiple of 274/898, 682/445, 928/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 274/898, 682/445, 928/449 quickly i.e. 43353376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 274/898, 682/445, 928/449 is 43353376.

LCM(274/898, 682/445, 928/449) = 43353376

LCM of 274/898, 682/445, 928/449

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 274/898,682/445,928/449

Given numbers are 274/898,682/445,928/449

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 274,682,928

Least Common Multiple of Numerators i.e. LCM of 274,682,928 is 43353376.

GCF of Denominators means GCF of 898,445,449 as per the given fractions.

GCF of 898,445,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 274,682,928

LCM of Fractions 274/898,682/445,928/449 is 43353376

2 274, 682, 928
137, 341, 464

∴ So the LCM of the given numbers is 2 x 137 x 341 x 464 = 43353376

Least Common Multiple of 274,682,928 with GCF Formula

Least Common Multiple of 274,682,928 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 274,682,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,682,928) = 2

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

GCF(274,682,928) x common factors =2 x 2 = 4

LCM(274,682,928) = ( 274 × 682 × 928 ) / 4

LCM(274,682,928) = 173413504 / 4

LCM(274,682,928) = 43353376


Lets's calculate GCF of 898,445,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43353376/1

Therefore the LCM of Fractions 274/898,682/445,928/449 is 43353376

Greatest Common Factor of 898,445,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,445,449 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 898,445,449 . The biggest common factor number is the GCF number.
So the greatest common factor 898,445,449 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 274/898, 682/445, 928/449

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 274/898, 682/445, 928/449?

Answer: LCM of Numerators as per given numbers 274/898, 682/445, 928/449 is

LCM of Numerators i.e. for 274,682,928 is 43353376

GCF of denominators i.e. for 898,445,449 is 1.

Thus, LCM of Fractions is 43353376.Finally, LCM of Fractions for 274/898, 682/445, 928/449 is 43353376.