Least Common Multiple of 436/674, 4180/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 436/674, 4180/314 quickly i.e. 227810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 436/674, 4180/314 is 227810.

LCM(436/674, 4180/314) = 227810

LCM of 436/674, 4180/314

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 436/674,4180/314

Given numbers are 436/674,4180/314

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 436,4180

Least Common Multiple of Numerators i.e. LCM of 436,4180 is 455620.

GCF of Denominators means GCF of 674,314 as per the given fractions.

GCF of 674,314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 436,4180

LCM of Fractions 436/674,4180/314 is 227810

2 436, 4180
2 218, 2090
109, 1045

∴ So the LCM of the given numbers is 2 x 2 x 109 x 1045 = 455620

Least Common Multiple of 436,4180 with GCF Formula

Least Common Multiple of 436,4180 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 436,4180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,4180) = 4

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

GCF(436,4180) x common factors =4 x 1 = 4

LCM(436,4180) = ( 436 × 4180 ) / 4

LCM(436,4180) = 1822480 / 4

LCM(436,4180) = 455620


Lets's calculate GCF of 674,314

2 674, 314
337, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 455620/2

Therefore the LCM of Fractions 436/674,4180/314 is 227810

Greatest Common Factor of 674,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,314 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 674,314 . The biggest common factor number is the GCF number.
So the greatest common factor 674,314 is 2.


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 436/674, 4180/314

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 436/674, 4180/314?

Answer: LCM of Numerators as per given numbers 436/674, 4180/314 is

LCM of Numerators i.e. for 436,4180 is 455620

GCF of denominators i.e. for 674,314 is 2.

Thus, LCM of Fractions is 227810.Finally, LCM of Fractions for 436/674, 4180/314 is 227810.