Least Common Multiple of 1646/599, 9874/9118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1646/599, 9874/9118 quickly i.e. 8126302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1646/599, 9874/9118 is 8126302.

LCM(1646/599, 9874/9118) = 8126302

LCM of 1646/599, 9874/9118

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 1646/599,9874/9118

Given numbers are 1646/599,9874/9118

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 1646,9874

Least Common Multiple of Numerators i.e. LCM of 1646,9874 is 8126302.

GCF of Denominators means GCF of 599,9118 as per the given fractions.

GCF of 599,9118 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1646,9874

LCM of Fractions 1646/599,9874/9118 is 8126302

2 1646, 9874
823, 4937

∴ So the LCM of the given numbers is 2 x 823 x 4937 = 8126302

Least Common Multiple of 1646,9874 with GCF Formula

Least Common Multiple of 1646,9874 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 1646,9874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1646,9874) = 2

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

GCF(1646,9874) x common factors =2 x 1 = 2

LCM(1646,9874) = ( 1646 × 9874 ) / 2

LCM(1646,9874) = 16252604 / 2

LCM(1646,9874) = 8126302


Lets's calculate GCF of 599,9118

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8126302/1

Therefore the LCM of Fractions 1646/599,9874/9118 is 8126302

Greatest Common Factor of 599,9118 By Matching Biggest Common Factor Method

Greatest Common Factor of 599,9118 By Matching Biggest Common Factor Method

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 9118

List of positive integer factors of 9118 that divides 9118 without a remainder.

1,2,47,94,97,194,4559,9118

Greatest Common Factor

We found the factors 599,9118 . The biggest common factor number is the GCF number.
So the greatest common factor 599,9118 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 1646/599, 9874/9118

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 1646/599, 9874/9118?

Answer: LCM of Numerators as per given numbers 1646/599, 9874/9118 is

LCM of Numerators i.e. for 1646,9874 is 8126302

GCF of denominators i.e. for 599,9118 is 1.

Thus, LCM of Fractions is 8126302.Finally, LCM of Fractions for 1646/599, 9874/9118 is 8126302.