Least Common Multiple of 9724/892, 7039/1666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9724/892, 7039/1666 quickly i.e. 34223618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9724/892, 7039/1666 is 34223618.

LCM(9724/892, 7039/1666) = 34223618

LCM of 9724/892, 7039/1666

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 9724/892,7039/1666

Given numbers are 9724/892,7039/1666

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 9724,7039

Least Common Multiple of Numerators i.e. LCM of 9724,7039 is 68447236.

GCF of Denominators means GCF of 892,1666 as per the given fractions.

GCF of 892,1666 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9724,7039

LCM of Fractions 9724/892,7039/1666 is 34223618

Given numbers has no common factors except 1. So, there LCM is their product i.e 68447236

Least Common Multiple of 9724,7039 with GCF Formula

Least Common Multiple of 9724,7039 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 9724,7039 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9724,7039) = 1

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

GCF(9724,7039) x common factors =1 x 1 = 1

LCM(9724,7039) = ( 9724 × 7039 ) / 1

LCM(9724,7039) = 68447236 / 1

LCM(9724,7039) = 68447236


Lets's calculate GCF of 892,1666

2 892, 1666
446, 833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68447236/2

Therefore the LCM of Fractions 9724/892,7039/1666 is 34223618

Greatest Common Factor of 892,1666 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,1666 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 1666

List of positive integer factors of 1666 that divides 1666 without a remainder.

1,2,7,14,17,34,49,98,119,238,833,1666

Greatest Common Factor

We found the factors 892,1666 . The biggest common factor number is the GCF number.
So the greatest common factor 892,1666 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 9724/892, 7039/1666

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 9724/892, 7039/1666?

Answer: LCM of Numerators as per given numbers 9724/892, 7039/1666 is

LCM of Numerators i.e. for 9724,7039 is 68447236

GCF of denominators i.e. for 892,1666 is 2.

Thus, LCM of Fractions is 34223618.Finally, LCM of Fractions for 9724/892, 7039/1666 is 34223618.