Least Common Multiple of 721/892, 1483/8612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 721/892, 1483/8612 quickly i.e. 1069243/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 721/892, 1483/8612 is 1069243/4.

LCM(721/892, 1483/8612) = 1069243/4

LCM of 721/892, 1483/8612

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 721/892,1483/8612

Given numbers are 721/892,1483/8612

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 721,1483

Least Common Multiple of Numerators i.e. LCM of 721,1483 is 1069243.

GCF of Denominators means GCF of 892,8612 as per the given fractions.

GCF of 892,8612 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 721,1483

LCM of Fractions 721/892,1483/8612 is 1069243/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 1069243

Least Common Multiple of 721,1483 with GCF Formula

Least Common Multiple of 721,1483 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 721,1483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,1483) = 1

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

GCF(721,1483) x common factors =1 x 1 = 1

LCM(721,1483) = ( 721 × 1483 ) / 1

LCM(721,1483) = 1069243 / 1

LCM(721,1483) = 1069243


Lets's calculate GCF of 892,8612

2 892, 8612
2 446, 4306
223, 2153

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1069243/4

Therefore the LCM of Fractions 721/892,1483/8612 is 1069243/4

Greatest Common Factor of 892,8612 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,8612 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 8612

List of positive integer factors of 8612 that divides 8612 without a remainder.

1,2,4,2153,4306,8612

Greatest Common Factor

We found the factors 892,8612 . The biggest common factor number is the GCF number.
So the greatest common factor 892,8612 is 4.


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 721/892, 1483/8612

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 721/892, 1483/8612?

Answer: LCM of Numerators as per given numbers 721/892, 1483/8612 is

LCM of Numerators i.e. for 721,1483 is 1069243

GCF of denominators i.e. for 892,8612 is 4.

Thus, LCM of Fractions is 1069243/4.Finally, LCM of Fractions for 721/892, 1483/8612 is 1069243/4.