Least Common Multiple of 40/96, 814/64, 141/929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/96, 814/64, 141/929 quickly i.e. 2295480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/96, 814/64, 141/929 is 2295480.

LCM(40/96, 814/64, 141/929) = 2295480

LCM of 40/96, 814/64, 141/929

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 40/96,814/64,141/929

Given numbers are 40/96,814/64,141/929

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 40,814,141

Least Common Multiple of Numerators i.e. LCM of 40,814,141 is 2295480.

GCF of Denominators means GCF of 96,64,929 as per the given fractions.

GCF of 96,64,929 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,814,141

LCM of Fractions 40/96,814/64,141/929 is 2295480

2 40, 814, 141
20, 407, 141

∴ So the LCM of the given numbers is 2 x 20 x 407 x 141 = 2295480

Least Common Multiple of 40,814,141 with GCF Formula

Least Common Multiple of 40,814,141 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 40,814,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,814,141) = 1

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

GCF(40,814,141) x common factors =1 x 2 = 2

LCM(40,814,141) = ( 40 × 814 × 141 ) / 2

LCM(40,814,141) = 4590960 / 2

LCM(40,814,141) = 2295480


Lets's calculate GCF of 96,64,929

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2295480/1

Therefore the LCM of Fractions 40/96,814/64,141/929 is 2295480

Greatest Common Factor of 96,64,929 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,64,929 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Greatest Common Factor

We found the factors 96,64,929 . The biggest common factor number is the GCF number.
So the greatest common factor 96,64,929 is 1.


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 40/96, 814/64, 141/929

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 40/96, 814/64, 141/929?

Answer: LCM of Numerators as per given numbers 40/96, 814/64, 141/929 is

LCM of Numerators i.e. for 40,814,141 is 2295480

GCF of denominators i.e. for 96,64,929 is 1.

Thus, LCM of Fractions is 2295480.Finally, LCM of Fractions for 40/96, 814/64, 141/929 is 2295480.