Least Common Multiple of 46/66, 171/54, 658/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/66, 171/54, 658/456 quickly i.e. 431319 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/66, 171/54, 658/456 is 431319.

LCM(46/66, 171/54, 658/456) = 431319

LCM of 46/66, 171/54, 658/456

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 46/66,171/54,658/456

Given numbers are 46/66,171/54,658/456

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 46,171,658

Least Common Multiple of Numerators i.e. LCM of 46,171,658 is 2587914.

GCF of Denominators means GCF of 66,54,456 as per the given fractions.

GCF of 66,54,456 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,171,658

LCM of Fractions 46/66,171/54,658/456 is 431319

2 46, 171, 658
23, 171, 329

∴ So the LCM of the given numbers is 2 x 23 x 171 x 329 = 2587914

Least Common Multiple of 46,171,658 with GCF Formula

Least Common Multiple of 46,171,658 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 46,171,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,171,658) = 1

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

GCF(46,171,658) x common factors =1 x 2 = 2

LCM(46,171,658) = ( 46 × 171 × 658 ) / 2

LCM(46,171,658) = 5175828 / 2

LCM(46,171,658) = 2587914


Lets's calculate GCF of 66,54,456

2 66, 54, 456
3 33, 27, 228
11, 9, 76

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2587914/6

Therefore the LCM of Fractions 46/66,171/54,658/456 is 431319

Greatest Common Factor of 66,54,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,54,456 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

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

Greatest Common Factor

We found the factors 66,54,456 . The biggest common factor number is the GCF number.
So the greatest common factor 66,54,456 is 6.


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 46/66, 171/54, 658/456

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 46/66, 171/54, 658/456?

Answer: LCM of Numerators as per given numbers 46/66, 171/54, 658/456 is

LCM of Numerators i.e. for 46,171,658 is 2587914

GCF of denominators i.e. for 66,54,456 is 6.

Thus, LCM of Fractions is 431319.Finally, LCM of Fractions for 46/66, 171/54, 658/456 is 431319.