Least Common Multiple of 46/724, 50/314, 927/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/724, 50/314, 927/722 quickly i.e. 533025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/724, 50/314, 927/722 is 533025.

LCM(46/724, 50/314, 927/722) = 533025

LCM of 46/724, 50/314, 927/722

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 46/724,50/314,927/722

Given numbers are 46/724,50/314,927/722

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 46,50,927

Least Common Multiple of Numerators i.e. LCM of 46,50,927 is 1066050.

GCF of Denominators means GCF of 724,314,722 as per the given fractions.

GCF of 724,314,722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,50,927

LCM of Fractions 46/724,50/314,927/722 is 533025

2 46, 50, 927
23, 25, 927

∴ So the LCM of the given numbers is 2 x 23 x 25 x 927 = 1066050

Least Common Multiple of 46,50,927 with GCF Formula

Least Common Multiple of 46,50,927 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 46,50,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,50,927) = 1

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

GCF(46,50,927) x common factors =1 x 2 = 2

LCM(46,50,927) = ( 46 × 50 × 927 ) / 2

LCM(46,50,927) = 2132100 / 2

LCM(46,50,927) = 1066050


Lets's calculate GCF of 724,314,722

2 724, 314, 722
362, 157, 361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1066050/2

Therefore the LCM of Fractions 46/724,50/314,927/722 is 533025

Greatest Common Factor of 724,314,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,314,722 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 724,314,722 . The biggest common factor number is the GCF number.
So the greatest common factor 724,314,722 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 46/724, 50/314, 927/722

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 46/724, 50/314, 927/722?

Answer: LCM of Numerators as per given numbers 46/724, 50/314, 927/722 is

LCM of Numerators i.e. for 46,50,927 is 1066050

GCF of denominators i.e. for 724,314,722 is 2.

Thus, LCM of Fractions is 533025.Finally, LCM of Fractions for 46/724, 50/314, 927/722 is 533025.