Least Common Multiple of 938/13, 928/96, 224/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 938/13, 928/96, 224/312 quickly i.e. 435232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 938/13, 928/96, 224/312 is 435232.

LCM(938/13, 928/96, 224/312) = 435232

LCM of 938/13, 928/96, 224/312

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 938/13,928/96,224/312

Given numbers are 938/13,928/96,224/312

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 938,928,224

Least Common Multiple of Numerators i.e. LCM of 938,928,224 is 435232.

GCF of Denominators means GCF of 13,96,312 as per the given fractions.

GCF of 13,96,312 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 938,928,224

LCM of Fractions 938/13,928/96,224/312 is 435232

2 938, 928, 224
2 469, 464, 112
2 469, 232, 56
2 469, 116, 28
2 469, 58, 14
7 469, 29, 7
67, 29, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 7 x 67 x 29 x 1 = 435232

Least Common Multiple of 938,928,224 with GCF Formula

Least Common Multiple of 938,928,224 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 938,928,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,928,224) = 2

common factors(in case of two or more numbers have common factors) = 224

GCF(938,928,224) x common factors =2 x 224 = 448

LCM(938,928,224) = ( 938 × 928 × 224 ) / 448

LCM(938,928,224) = 194983936 / 448

LCM(938,928,224) = 435232


Lets's calculate GCF of 13,96,312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 435232/1

Therefore the LCM of Fractions 938/13,928/96,224/312 is 435232

Greatest Common Factor of 13,96,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,96,312 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

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 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

Greatest Common Factor

We found the factors 13,96,312 . The biggest common factor number is the GCF number.
So the greatest common factor 13,96,312 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 938/13, 928/96, 224/312

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 938/13, 928/96, 224/312?

Answer: LCM of Numerators as per given numbers 938/13, 928/96, 224/312 is

LCM of Numerators i.e. for 938,928,224 is 435232

GCF of denominators i.e. for 13,96,312 is 1.

Thus, LCM of Fractions is 435232.Finally, LCM of Fractions for 938/13, 928/96, 224/312 is 435232.