Least Common Multiple of 46/712, 25/800, 331/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 46/712, 25/800, 331/941 quickly i.e. 380650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/712, 25/800, 331/941 is 380650.

LCM(46/712, 25/800, 331/941) = 380650

LCM of 46/712, 25/800, 331/941

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 46/712,25/800,331/941

Given numbers are 46/712,25/800,331/941

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 46,25,331

Least Common Multiple of Numerators i.e. LCM of 46,25,331 is 380650.

GCF of Denominators means GCF of 712,800,941 as per the given fractions.

GCF of 712,800,941 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,25,331

LCM of Fractions 46/712,25/800,331/941 is 380650

Given numbers has no common factors except 1. So, there LCM is their product i.e 380650

Least Common Multiple of 46,25,331 with GCF Formula

Least Common Multiple of 46,25,331 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 46,25,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,25,331) = 1

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

GCF(46,25,331) x common factors =1 x 1 = 1

LCM(46,25,331) = ( 46 × 25 × 331 ) / 1

LCM(46,25,331) = 380650 / 1

LCM(46,25,331) = 380650


Lets's calculate GCF of 712,800,941

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 380650/1

Therefore the LCM of Fractions 46/712,25/800,331/941 is 380650

Greatest Common Factor of 712,800,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,800,941 By Matching Biggest Common Factor Method

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 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Greatest Common Factor

We found the factors 712,800,941 . The biggest common factor number is the GCF number.
So the greatest common factor 712,800,941 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 46/712, 25/800, 331/941

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 46/712, 25/800, 331/941?

Answer: LCM of Numerators as per given numbers 46/712, 25/800, 331/941 is

LCM of Numerators i.e. for 46,25,331 is 380650

GCF of denominators i.e. for 712,800,941 is 1.

Thus, LCM of Fractions is 380650.Finally, LCM of Fractions for 46/712, 25/800, 331/941 is 380650.