Least Common Multiple of 828/98, 345/4384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/98, 345/4384 quickly i.e. 2070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/98, 345/4384 is 2070.

LCM(828/98, 345/4384) = 2070

LCM of 828/98, 345/4384

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 828/98,345/4384

Given numbers are 828/98,345/4384

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 828,345

Least Common Multiple of Numerators i.e. LCM of 828,345 is 4140.

GCF of Denominators means GCF of 98,4384 as per the given fractions.

GCF of 98,4384 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,345

LCM of Fractions 828/98,345/4384 is 2070

3 828, 345
23 276, 115
12, 5

∴ So the LCM of the given numbers is 3 x 23 x 12 x 5 = 4140

Least Common Multiple of 828,345 with GCF Formula

Least Common Multiple of 828,345 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 828,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,345) = 69

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

GCF(828,345) x common factors =69 x 1 = 69

LCM(828,345) = ( 828 × 345 ) / 69

LCM(828,345) = 285660 / 69

LCM(828,345) = 4140


Lets's calculate GCF of 98,4384

2 98, 4384
49, 2192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4140/2

Therefore the LCM of Fractions 828/98,345/4384 is 2070

Greatest Common Factor of 98,4384 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,4384 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 4384

List of positive integer factors of 4384 that divides 4384 without a remainder.

1,2,4,8,16,32,137,274,548,1096,2192,4384

Greatest Common Factor

We found the factors 98,4384 . The biggest common factor number is the GCF number.
So the greatest common factor 98,4384 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 828/98, 345/4384

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 828/98, 345/4384?

Answer: LCM of Numerators as per given numbers 828/98, 345/4384 is

LCM of Numerators i.e. for 828,345 is 4140

GCF of denominators i.e. for 98,4384 is 2.

Thus, LCM of Fractions is 2070.Finally, LCM of Fractions for 828/98, 345/4384 is 2070.