Least Common Multiple of 4688/992, 9675/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4688/992, 9675/440 quickly i.e. 5669550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4688/992, 9675/440 is 5669550.

LCM(4688/992, 9675/440) = 5669550

LCM of 4688/992, 9675/440

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 4688/992,9675/440

Given numbers are 4688/992,9675/440

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 4688,9675

Least Common Multiple of Numerators i.e. LCM of 4688,9675 is 45356400.

GCF of Denominators means GCF of 992,440 as per the given fractions.

GCF of 992,440 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4688,9675

LCM of Fractions 4688/992,9675/440 is 5669550

Given numbers has no common factors except 1. So, there LCM is their product i.e 45356400

Least Common Multiple of 4688,9675 with GCF Formula

Least Common Multiple of 4688,9675 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 4688,9675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4688,9675) = 1

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

GCF(4688,9675) x common factors =1 x 1 = 1

LCM(4688,9675) = ( 4688 × 9675 ) / 1

LCM(4688,9675) = 45356400 / 1

LCM(4688,9675) = 45356400


Lets's calculate GCF of 992,440

2 992, 440
2 496, 220
2 248, 110
124, 55

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45356400/8

Therefore the LCM of Fractions 4688/992,9675/440 is 5669550

Greatest Common Factor of 992,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,440 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 992,440 . The biggest common factor number is the GCF number.
So the greatest common factor 992,440 is 8.


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 4688/992, 9675/440

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 4688/992, 9675/440?

Answer: LCM of Numerators as per given numbers 4688/992, 9675/440 is

LCM of Numerators i.e. for 4688,9675 is 45356400

GCF of denominators i.e. for 992,440 is 8.

Thus, LCM of Fractions is 5669550.Finally, LCM of Fractions for 4688/992, 9675/440 is 5669550.