Least Common Multiple of 802/983, 2005/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 802/983, 2005/141 quickly i.e. 4010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/983, 2005/141 is 4010.

LCM(802/983, 2005/141) = 4010

LCM of 802/983, 2005/141

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 802/983,2005/141

Given numbers are 802/983,2005/141

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 802,2005

Least Common Multiple of Numerators i.e. LCM of 802,2005 is 4010.

GCF of Denominators means GCF of 983,141 as per the given fractions.

GCF of 983,141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,2005

LCM of Fractions 802/983,2005/141 is 4010

401 802, 2005
2, 5

∴ So the LCM of the given numbers is 401 x 2 x 5 = 4010

Least Common Multiple of 802,2005 with GCF Formula

Least Common Multiple of 802,2005 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 802,2005 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,2005) = 401

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

GCF(802,2005) x common factors =401 x 1 = 401

LCM(802,2005) = ( 802 × 2005 ) / 401

LCM(802,2005) = 1608010 / 401

LCM(802,2005) = 4010


Lets's calculate GCF of 983,141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4010/1

Therefore the LCM of Fractions 802/983,2005/141 is 4010

Greatest Common Factor of 983,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 983,141 By Matching Biggest Common Factor Method

Factors of 983

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

1,983

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 983,141 . The biggest common factor number is the GCF number.
So the greatest common factor 983,141 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 802/983, 2005/141

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 802/983, 2005/141?

Answer: LCM of Numerators as per given numbers 802/983, 2005/141 is

LCM of Numerators i.e. for 802,2005 is 4010

GCF of denominators i.e. for 983,141 is 1.

Thus, LCM of Fractions is 4010.Finally, LCM of Fractions for 802/983, 2005/141 is 4010.