Least Common Multiple of 4966/92, 4574/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4966/92, 4574/116 quickly i.e. 11357242/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4966/92, 4574/116 is 11357242/4.

LCM(4966/92, 4574/116) = 11357242/4

LCM of 4966/92, 4574/116

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 4966/92,4574/116

Given numbers are 4966/92,4574/116

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 4966,4574

Least Common Multiple of Numerators i.e. LCM of 4966,4574 is 11357242.

GCF of Denominators means GCF of 92,116 as per the given fractions.

GCF of 92,116 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4966,4574

LCM of Fractions 4966/92,4574/116 is 11357242/4

2 4966, 4574
2483, 2287

∴ So the LCM of the given numbers is 2 x 2483 x 2287 = 11357242

Least Common Multiple of 4966,4574 with GCF Formula

Least Common Multiple of 4966,4574 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 4966,4574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4966,4574) = 2

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

GCF(4966,4574) x common factors =2 x 1 = 2

LCM(4966,4574) = ( 4966 × 4574 ) / 2

LCM(4966,4574) = 22714484 / 2

LCM(4966,4574) = 11357242


Lets's calculate GCF of 92,116

2 92, 116
2 46, 58
23, 29

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11357242/4

Therefore the LCM of Fractions 4966/92,4574/116 is 11357242/4

Greatest Common Factor of 92,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,116 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 92,116 . The biggest common factor number is the GCF number.
So the greatest common factor 92,116 is 4.


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 4966/92, 4574/116

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 4966/92, 4574/116?

Answer: LCM of Numerators as per given numbers 4966/92, 4574/116 is

LCM of Numerators i.e. for 4966,4574 is 11357242

GCF of denominators i.e. for 92,116 is 4.

Thus, LCM of Fractions is 11357242/4.Finally, LCM of Fractions for 4966/92, 4574/116 is 11357242/4.