Least Common Multiple of 94/549, 89/712, 338/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/549, 89/712, 338/448 quickly i.e. 1413854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/549, 89/712, 338/448 is 1413854.

LCM(94/549, 89/712, 338/448) = 1413854

LCM of 94/549, 89/712, 338/448

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 94/549,89/712,338/448

Given numbers are 94/549,89/712,338/448

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 94,89,338

Least Common Multiple of Numerators i.e. LCM of 94,89,338 is 1413854.

GCF of Denominators means GCF of 549,712,448 as per the given fractions.

GCF of 549,712,448 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,89,338

LCM of Fractions 94/549,89/712,338/448 is 1413854

2 94, 89, 338
47, 89, 169

∴ So the LCM of the given numbers is 2 x 47 x 89 x 169 = 1413854

Least Common Multiple of 94,89,338 with GCF Formula

Least Common Multiple of 94,89,338 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 94,89,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,89,338) = 1

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

GCF(94,89,338) x common factors =1 x 2 = 2

LCM(94,89,338) = ( 94 × 89 × 338 ) / 2

LCM(94,89,338) = 2827708 / 2

LCM(94,89,338) = 1413854


Lets's calculate GCF of 549,712,448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1413854/1

Therefore the LCM of Fractions 94/549,89/712,338/448 is 1413854

Greatest Common Factor of 549,712,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,712,448 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 549,712,448 . The biggest common factor number is the GCF number.
So the greatest common factor 549,712,448 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 94/549, 89/712, 338/448

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 94/549, 89/712, 338/448?

Answer: LCM of Numerators as per given numbers 94/549, 89/712, 338/448 is

LCM of Numerators i.e. for 94,89,338 is 1413854

GCF of denominators i.e. for 549,712,448 is 1.

Thus, LCM of Fractions is 1413854.Finally, LCM of Fractions for 94/549, 89/712, 338/448 is 1413854.