Least Common Multiple of 828/553, 133/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/553, 133/983 quickly i.e. 110124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/553, 133/983 is 110124.

LCM(828/553, 133/983) = 110124

LCM of 828/553, 133/983

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 828/553,133/983

Given numbers are 828/553,133/983

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 828,133

Least Common Multiple of Numerators i.e. LCM of 828,133 is 110124.

GCF of Denominators means GCF of 553,983 as per the given fractions.

GCF of 553,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,133

LCM of Fractions 828/553,133/983 is 110124

Given numbers has no common factors except 1. So, there LCM is their product i.e 110124

Least Common Multiple of 828,133 with GCF Formula

Least Common Multiple of 828,133 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 828,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,133) = 1

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

GCF(828,133) x common factors =1 x 1 = 1

LCM(828,133) = ( 828 × 133 ) / 1

LCM(828,133) = 110124 / 1

LCM(828,133) = 110124


Lets's calculate GCF of 553,983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110124/1

Therefore the LCM of Fractions 828/553,133/983 is 110124

Greatest Common Factor of 553,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,983 By Matching Biggest Common Factor Method

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 553,983 . The biggest common factor number is the GCF number.
So the greatest common factor 553,983 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 828/553, 133/983

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 828/553, 133/983?

Answer: LCM of Numerators as per given numbers 828/553, 133/983 is

LCM of Numerators i.e. for 828,133 is 110124

GCF of denominators i.e. for 553,983 is 1.

Thus, LCM of Fractions is 110124.Finally, LCM of Fractions for 828/553, 133/983 is 110124.