Least Common Multiple of 992/59, 364/4196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 992/59, 364/4196 quickly i.e. 90272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 992/59, 364/4196 is 90272.

LCM(992/59, 364/4196) = 90272

LCM of 992/59, 364/4196

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 992/59,364/4196

Given numbers are 992/59,364/4196

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 992,364

Least Common Multiple of Numerators i.e. LCM of 992,364 is 90272.

GCF of Denominators means GCF of 59,4196 as per the given fractions.

GCF of 59,4196 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 992,364

LCM of Fractions 992/59,364/4196 is 90272

2 992, 364
2 496, 182
248, 91

∴ So the LCM of the given numbers is 2 x 2 x 248 x 91 = 90272

Least Common Multiple of 992,364 with GCF Formula

Least Common Multiple of 992,364 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 992,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,364) = 4

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

GCF(992,364) x common factors =4 x 1 = 4

LCM(992,364) = ( 992 × 364 ) / 4

LCM(992,364) = 361088 / 4

LCM(992,364) = 90272


Lets's calculate GCF of 59,4196

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90272/1

Therefore the LCM of Fractions 992/59,364/4196 is 90272

Greatest Common Factor of 59,4196 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,4196 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 4196

List of positive integer factors of 4196 that divides 4196 without a remainder.

1,2,4,1049,2098,4196

Greatest Common Factor

We found the factors 59,4196 . The biggest common factor number is the GCF number.
So the greatest common factor 59,4196 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 992/59, 364/4196

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 992/59, 364/4196?

Answer: LCM of Numerators as per given numbers 992/59, 364/4196 is

LCM of Numerators i.e. for 992,364 is 90272

GCF of denominators i.e. for 59,4196 is 1.

Thus, LCM of Fractions is 90272.Finally, LCM of Fractions for 992/59, 364/4196 is 90272.