Least Common Multiple of 923/312, 648/386, 398/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 923/312, 648/386, 398/834 quickly i.e. 59511348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 923/312, 648/386, 398/834 is 59511348.

LCM(923/312, 648/386, 398/834) = 59511348

LCM of 923/312, 648/386, 398/834

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 923/312,648/386,398/834

Given numbers are 923/312,648/386,398/834

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 923,648,398

Least Common Multiple of Numerators i.e. LCM of 923,648,398 is 119022696.

GCF of Denominators means GCF of 312,386,834 as per the given fractions.

GCF of 312,386,834 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 923,648,398

LCM of Fractions 923/312,648/386,398/834 is 59511348

2 923, 648, 398
923, 324, 199

∴ So the LCM of the given numbers is 2 x 923 x 324 x 199 = 119022696

Least Common Multiple of 923,648,398 with GCF Formula

Least Common Multiple of 923,648,398 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 923,648,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,648,398) = 1

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

GCF(923,648,398) x common factors =1 x 2 = 2

LCM(923,648,398) = ( 923 × 648 × 398 ) / 2

LCM(923,648,398) = 238045392 / 2

LCM(923,648,398) = 119022696


Lets's calculate GCF of 312,386,834

2 312, 386, 834
156, 193, 417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119022696/2

Therefore the LCM of Fractions 923/312,648/386,398/834 is 59511348

Greatest Common Factor of 312,386,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,386,834 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 312,386,834 . The biggest common factor number is the GCF number.
So the greatest common factor 312,386,834 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 923/312, 648/386, 398/834

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 923/312, 648/386, 398/834?

Answer: LCM of Numerators as per given numbers 923/312, 648/386, 398/834 is

LCM of Numerators i.e. for 923,648,398 is 119022696

GCF of denominators i.e. for 312,386,834 is 2.

Thus, LCM of Fractions is 59511348.Finally, LCM of Fractions for 923/312, 648/386, 398/834 is 59511348.