Least Common Multiple of 379/85, 5866/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 379/85, 5866/450 quickly i.e. 2223214/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 379/85, 5866/450 is 2223214/5.

LCM(379/85, 5866/450) = 2223214/5

LCM of 379/85, 5866/450

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 379/85,5866/450

Given numbers are 379/85,5866/450

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 379,5866

Least Common Multiple of Numerators i.e. LCM of 379,5866 is 2223214.

GCF of Denominators means GCF of 85,450 as per the given fractions.

GCF of 85,450 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 379,5866

LCM of Fractions 379/85,5866/450 is 2223214/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 2223214

Least Common Multiple of 379,5866 with GCF Formula

Least Common Multiple of 379,5866 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 379,5866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,5866) = 1

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

GCF(379,5866) x common factors =1 x 1 = 1

LCM(379,5866) = ( 379 × 5866 ) / 1

LCM(379,5866) = 2223214 / 1

LCM(379,5866) = 2223214


Lets's calculate GCF of 85,450

5 85, 450
17, 90

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2223214/5

Therefore the LCM of Fractions 379/85,5866/450 is 2223214/5

Greatest Common Factor of 85,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,450 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 85,450 . The biggest common factor number is the GCF number.
So the greatest common factor 85,450 is 5.


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Frequently Asked Questions on Fractional LCM of 379/85, 5866/450

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 379/85, 5866/450?

Answer: LCM of Numerators as per given numbers 379/85, 5866/450 is

LCM of Numerators i.e. for 379,5866 is 2223214

GCF of denominators i.e. for 85,450 is 5.

Thus, LCM of Fractions is 2223214/5.Finally, LCM of Fractions for 379/85, 5866/450 is 2223214/5.