Least Common Multiple of 328/424, 696/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 328/424, 696/953 quickly i.e. 28536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 328/424, 696/953 is 28536.

LCM(328/424, 696/953) = 28536

LCM of 328/424, 696/953

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 328/424,696/953

Given numbers are 328/424,696/953

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 328,696

Least Common Multiple of Numerators i.e. LCM of 328,696 is 28536.

GCF of Denominators means GCF of 424,953 as per the given fractions.

GCF of 424,953 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 328,696

LCM of Fractions 328/424,696/953 is 28536

2 328, 696
2 164, 348
2 82, 174
41, 87

∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 87 = 28536

Least Common Multiple of 328,696 with GCF Formula

Least Common Multiple of 328,696 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 328,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,696) = 8

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

GCF(328,696) x common factors =8 x 1 = 8

LCM(328,696) = ( 328 × 696 ) / 8

LCM(328,696) = 228288 / 8

LCM(328,696) = 28536


Lets's calculate GCF of 424,953

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28536/1

Therefore the LCM of Fractions 328/424,696/953 is 28536

Greatest Common Factor of 424,953 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,953 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Greatest Common Factor

We found the factors 424,953 . The biggest common factor number is the GCF number.
So the greatest common factor 424,953 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 328/424, 696/953

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 328/424, 696/953?

Answer: LCM of Numerators as per given numbers 328/424, 696/953 is

LCM of Numerators i.e. for 328,696 is 28536

GCF of denominators i.e. for 424,953 is 1.

Thus, LCM of Fractions is 28536.Finally, LCM of Fractions for 328/424, 696/953 is 28536.