Least Common Multiple of 192/90, 896/7021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 192/90, 896/7021 quickly i.e. 2688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 192/90, 896/7021 is 2688.

LCM(192/90, 896/7021) = 2688

LCM of 192/90, 896/7021

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 192/90,896/7021

Given numbers are 192/90,896/7021

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 192,896

Least Common Multiple of Numerators i.e. LCM of 192,896 is 2688.

GCF of Denominators means GCF of 90,7021 as per the given fractions.

GCF of 90,7021 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 192,896

LCM of Fractions 192/90,896/7021 is 2688

2 192, 896
2 96, 448
2 48, 224
2 24, 112
2 12, 56
2 6, 28
3, 14

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 14 = 2688

Least Common Multiple of 192,896 with GCF Formula

Least Common Multiple of 192,896 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 192,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,896) = 64

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

GCF(192,896) x common factors =64 x 1 = 64

LCM(192,896) = ( 192 × 896 ) / 64

LCM(192,896) = 172032 / 64

LCM(192,896) = 2688


Lets's calculate GCF of 90,7021

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2688/1

Therefore the LCM of Fractions 192/90,896/7021 is 2688

Greatest Common Factor of 90,7021 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,7021 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 7021

List of positive integer factors of 7021 that divides 7021 without a remainder.

1,7,17,59,119,413,1003,7021

Greatest Common Factor

We found the factors 90,7021 . The biggest common factor number is the GCF number.
So the greatest common factor 90,7021 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 192/90, 896/7021

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 192/90, 896/7021?

Answer: LCM of Numerators as per given numbers 192/90, 896/7021 is

LCM of Numerators i.e. for 192,896 is 2688

GCF of denominators i.e. for 90,7021 is 1.

Thus, LCM of Fractions is 2688.Finally, LCM of Fractions for 192/90, 896/7021 is 2688.