Least Common Multiple of 828/96, 424/4114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/96, 424/4114 quickly i.e. 43884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/96, 424/4114 is 43884.

LCM(828/96, 424/4114) = 43884

LCM of 828/96, 424/4114

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 828/96,424/4114

Given numbers are 828/96,424/4114

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 828,424

Least Common Multiple of Numerators i.e. LCM of 828,424 is 87768.

GCF of Denominators means GCF of 96,4114 as per the given fractions.

GCF of 96,4114 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,424

LCM of Fractions 828/96,424/4114 is 43884

2 828, 424
2 414, 212
207, 106

∴ So the LCM of the given numbers is 2 x 2 x 207 x 106 = 87768

Least Common Multiple of 828,424 with GCF Formula

Least Common Multiple of 828,424 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 828,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,424) = 4

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

GCF(828,424) x common factors =4 x 1 = 4

LCM(828,424) = ( 828 × 424 ) / 4

LCM(828,424) = 351072 / 4

LCM(828,424) = 87768


Lets's calculate GCF of 96,4114

2 96, 4114
48, 2057

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87768/2

Therefore the LCM of Fractions 828/96,424/4114 is 43884

Greatest Common Factor of 96,4114 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,4114 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 4114

List of positive integer factors of 4114 that divides 4114 without a remainder.

1,2,11,17,22,34,121,187,242,374,2057,4114

Greatest Common Factor

We found the factors 96,4114 . The biggest common factor number is the GCF number.
So the greatest common factor 96,4114 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 828/96, 424/4114

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 828/96, 424/4114?

Answer: LCM of Numerators as per given numbers 828/96, 424/4114 is

LCM of Numerators i.e. for 828,424 is 87768

GCF of denominators i.e. for 96,4114 is 2.

Thus, LCM of Fractions is 43884.Finally, LCM of Fractions for 828/96, 424/4114 is 43884.