Least Common Multiple of 46/290, 89/456, 557/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/290, 89/456, 557/224 quickly i.e. 1140179 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/290, 89/456, 557/224 is 1140179.

LCM(46/290, 89/456, 557/224) = 1140179

LCM of 46/290, 89/456, 557/224

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 46/290,89/456,557/224

Given numbers are 46/290,89/456,557/224

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 46,89,557

Least Common Multiple of Numerators i.e. LCM of 46,89,557 is 2280358.

GCF of Denominators means GCF of 290,456,224 as per the given fractions.

GCF of 290,456,224 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,89,557

LCM of Fractions 46/290,89/456,557/224 is 1140179

Given numbers has no common factors except 1. So, there LCM is their product i.e 2280358

Least Common Multiple of 46,89,557 with GCF Formula

Least Common Multiple of 46,89,557 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 46,89,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,89,557) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(46,89,557) x common factors =1 x 1 = 1

LCM(46,89,557) = ( 46 × 89 × 557 ) / 1

LCM(46,89,557) = 2280358 / 1

LCM(46,89,557) = 2280358


Lets's calculate GCF of 290,456,224

2 290, 456, 224
145, 228, 112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2280358/2

Therefore the LCM of Fractions 46/290,89/456,557/224 is 1140179

Greatest Common Factor of 290,456,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,456,224 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

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

Greatest Common Factor

We found the factors 290,456,224 . The biggest common factor number is the GCF number.
So the greatest common factor 290,456,224 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 46/290, 89/456, 557/224

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 46/290, 89/456, 557/224?

Answer: LCM of Numerators as per given numbers 46/290, 89/456, 557/224 is

LCM of Numerators i.e. for 46,89,557 is 2280358

GCF of denominators i.e. for 290,456,224 is 2.

Thus, LCM of Fractions is 1140179.Finally, LCM of Fractions for 46/290, 89/456, 557/224 is 1140179.