Least Common Multiple of 5066/46, 4194/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5066/46, 4194/316 quickly i.e. 5311701 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5066/46, 4194/316 is 5311701.

LCM(5066/46, 4194/316) = 5311701

LCM of 5066/46, 4194/316

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 5066/46,4194/316

Given numbers are 5066/46,4194/316

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 5066,4194

Least Common Multiple of Numerators i.e. LCM of 5066,4194 is 10623402.

GCF of Denominators means GCF of 46,316 as per the given fractions.

GCF of 46,316 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5066,4194

LCM of Fractions 5066/46,4194/316 is 5311701

2 5066, 4194
2533, 2097

∴ So the LCM of the given numbers is 2 x 2533 x 2097 = 10623402

Least Common Multiple of 5066,4194 with GCF Formula

Least Common Multiple of 5066,4194 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 5066,4194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5066,4194) = 2

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

GCF(5066,4194) x common factors =2 x 1 = 2

LCM(5066,4194) = ( 5066 × 4194 ) / 2

LCM(5066,4194) = 21246804 / 2

LCM(5066,4194) = 10623402


Lets's calculate GCF of 46,316

2 46, 316
23, 158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10623402/2

Therefore the LCM of Fractions 5066/46,4194/316 is 5311701

Greatest Common Factor of 46,316 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,316 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Greatest Common Factor

We found the factors 46,316 . The biggest common factor number is the GCF number.
So the greatest common factor 46,316 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 5066/46, 4194/316

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 5066/46, 4194/316?

Answer: LCM of Numerators as per given numbers 5066/46, 4194/316 is

LCM of Numerators i.e. for 5066,4194 is 10623402

GCF of denominators i.e. for 46,316 is 2.

Thus, LCM of Fractions is 5311701.Finally, LCM of Fractions for 5066/46, 4194/316 is 5311701.