Least Common Multiple of 46/492, 711/420, 956/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/492, 711/420, 956/525 quickly i.e. 5211156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/492, 711/420, 956/525 is 5211156.

LCM(46/492, 711/420, 956/525) = 5211156

LCM of 46/492, 711/420, 956/525

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 46/492,711/420,956/525

Given numbers are 46/492,711/420,956/525

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 46,711,956

Least Common Multiple of Numerators i.e. LCM of 46,711,956 is 15633468.

GCF of Denominators means GCF of 492,420,525 as per the given fractions.

GCF of 492,420,525 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,711,956

LCM of Fractions 46/492,711/420,956/525 is 5211156

2 46, 711, 956
23, 711, 478

∴ So the LCM of the given numbers is 2 x 23 x 711 x 478 = 15633468

Least Common Multiple of 46,711,956 with GCF Formula

Least Common Multiple of 46,711,956 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 46,711,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,711,956) = 1

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

GCF(46,711,956) x common factors =1 x 2 = 2

LCM(46,711,956) = ( 46 × 711 × 956 ) / 2

LCM(46,711,956) = 31266936 / 2

LCM(46,711,956) = 15633468


Lets's calculate GCF of 492,420,525

3 492, 420, 525
164, 140, 175

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15633468/3

Therefore the LCM of Fractions 46/492,711/420,956/525 is 5211156

Greatest Common Factor of 492,420,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,420,525 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 492,420,525 . The biggest common factor number is the GCF number.
So the greatest common factor 492,420,525 is 3.


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 46/492, 711/420, 956/525

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 46/492, 711/420, 956/525?

Answer: LCM of Numerators as per given numbers 46/492, 711/420, 956/525 is

LCM of Numerators i.e. for 46,711,956 is 15633468

GCF of denominators i.e. for 492,420,525 is 3.

Thus, LCM of Fractions is 5211156.Finally, LCM of Fractions for 46/492, 711/420, 956/525 is 5211156.