Least Common Multiple of 814/24, 632/96, 677/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/24, 632/96, 677/932 quickly i.e. 43535162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/24, 632/96, 677/932 is 43535162.

LCM(814/24, 632/96, 677/932) = 43535162

LCM of 814/24, 632/96, 677/932

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 814/24,632/96,677/932

Given numbers are 814/24,632/96,677/932

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 814,632,677

Least Common Multiple of Numerators i.e. LCM of 814,632,677 is 174140648.

GCF of Denominators means GCF of 24,96,932 as per the given fractions.

GCF of 24,96,932 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,632,677

LCM of Fractions 814/24,632/96,677/932 is 43535162

2 814, 632, 677
407, 316, 677

∴ So the LCM of the given numbers is 2 x 407 x 316 x 677 = 174140648

Least Common Multiple of 814,632,677 with GCF Formula

Least Common Multiple of 814,632,677 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 814,632,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,632,677) = 1

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

GCF(814,632,677) x common factors =1 x 2 = 2

LCM(814,632,677) = ( 814 × 632 × 677 ) / 2

LCM(814,632,677) = 348281296 / 2

LCM(814,632,677) = 174140648


Lets's calculate GCF of 24,96,932

2 24, 96, 932
2 12, 48, 466
6, 24, 233

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174140648/4

Therefore the LCM of Fractions 814/24,632/96,677/932 is 43535162

Greatest Common Factor of 24,96,932 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,96,932 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

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 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Greatest Common Factor

We found the factors 24,96,932 . The biggest common factor number is the GCF number.
So the greatest common factor 24,96,932 is 4.


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 814/24, 632/96, 677/932

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 814/24, 632/96, 677/932?

Answer: LCM of Numerators as per given numbers 814/24, 632/96, 677/932 is

LCM of Numerators i.e. for 814,632,677 is 174140648

GCF of denominators i.e. for 24,96,932 is 4.

Thus, LCM of Fractions is 43535162.Finally, LCM of Fractions for 814/24, 632/96, 677/932 is 43535162.