Least Common Multiple of 89/94, 38/85, 298/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/94, 38/85, 298/441 quickly i.e. 503918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/94, 38/85, 298/441 is 503918.

LCM(89/94, 38/85, 298/441) = 503918

LCM of 89/94, 38/85, 298/441

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 89/94,38/85,298/441

Given numbers are 89/94,38/85,298/441

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 89,38,298

Least Common Multiple of Numerators i.e. LCM of 89,38,298 is 503918.

GCF of Denominators means GCF of 94,85,441 as per the given fractions.

GCF of 94,85,441 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,38,298

LCM of Fractions 89/94,38/85,298/441 is 503918

2 89, 38, 298
89, 19, 149

∴ So the LCM of the given numbers is 2 x 89 x 19 x 149 = 503918

Least Common Multiple of 89,38,298 with GCF Formula

Least Common Multiple of 89,38,298 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 89,38,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,38,298) = 1

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

GCF(89,38,298) x common factors =1 x 2 = 2

LCM(89,38,298) = ( 89 × 38 × 298 ) / 2

LCM(89,38,298) = 1007836 / 2

LCM(89,38,298) = 503918


Lets's calculate GCF of 94,85,441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 503918/1

Therefore the LCM of Fractions 89/94,38/85,298/441 is 503918

Greatest Common Factor of 94,85,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,85,441 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 94,85,441 . The biggest common factor number is the GCF number.
So the greatest common factor 94,85,441 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 89/94, 38/85, 298/441

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 89/94, 38/85, 298/441?

Answer: LCM of Numerators as per given numbers 89/94, 38/85, 298/441 is

LCM of Numerators i.e. for 89,38,298 is 503918

GCF of denominators i.e. for 94,85,441 is 1.

Thus, LCM of Fractions is 503918.Finally, LCM of Fractions for 89/94, 38/85, 298/441 is 503918.