Least Common Multiple of 134/992, 3641/491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 134/992, 3641/491 quickly i.e. 487894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 134/992, 3641/491 is 487894.

LCM(134/992, 3641/491) = 487894

LCM of 134/992, 3641/491

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 134/992,3641/491

Given numbers are 134/992,3641/491

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 134,3641

Least Common Multiple of Numerators i.e. LCM of 134,3641 is 487894.

GCF of Denominators means GCF of 992,491 as per the given fractions.

GCF of 992,491 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 134,3641

LCM of Fractions 134/992,3641/491 is 487894

Given numbers has no common factors except 1. So, there LCM is their product i.e 487894

Least Common Multiple of 134,3641 with GCF Formula

Least Common Multiple of 134,3641 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 134,3641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,3641) = 1

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

GCF(134,3641) x common factors =1 x 1 = 1

LCM(134,3641) = ( 134 × 3641 ) / 1

LCM(134,3641) = 487894 / 1

LCM(134,3641) = 487894


Lets's calculate GCF of 992,491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 487894/1

Therefore the LCM of Fractions 134/992,3641/491 is 487894

Greatest Common Factor of 992,491 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,491 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 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Greatest Common Factor

We found the factors 992,491 . The biggest common factor number is the GCF number.
So the greatest common factor 992,491 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 134/992, 3641/491

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 134/992, 3641/491?

Answer: LCM of Numerators as per given numbers 134/992, 3641/491 is

LCM of Numerators i.e. for 134,3641 is 487894

GCF of denominators i.e. for 992,491 is 1.

Thus, LCM of Fractions is 487894.Finally, LCM of Fractions for 134/992, 3641/491 is 487894.