Least Common Multiple of 372/64, 6484/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 372/64, 6484/450 quickly i.e. 301506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 372/64, 6484/450 is 301506.

LCM(372/64, 6484/450) = 301506

LCM of 372/64, 6484/450

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 372/64,6484/450

Given numbers are 372/64,6484/450

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 372,6484

Least Common Multiple of Numerators i.e. LCM of 372,6484 is 603012.

GCF of Denominators means GCF of 64,450 as per the given fractions.

GCF of 64,450 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 372,6484

LCM of Fractions 372/64,6484/450 is 301506

2 372, 6484
2 186, 3242
93, 1621

∴ So the LCM of the given numbers is 2 x 2 x 93 x 1621 = 603012

Least Common Multiple of 372,6484 with GCF Formula

Least Common Multiple of 372,6484 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 372,6484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,6484) = 4

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

GCF(372,6484) x common factors =4 x 1 = 4

LCM(372,6484) = ( 372 × 6484 ) / 4

LCM(372,6484) = 2412048 / 4

LCM(372,6484) = 603012


Lets's calculate GCF of 64,450

2 64, 450
32, 225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 603012/2

Therefore the LCM of Fractions 372/64,6484/450 is 301506

Greatest Common Factor of 64,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,450 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

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 64,450 . The biggest common factor number is the GCF number.
So the greatest common factor 64,450 is 2.


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Frequently Asked Questions on Fractional LCM of 372/64, 6484/450

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 372/64, 6484/450?

Answer: LCM of Numerators as per given numbers 372/64, 6484/450 is

LCM of Numerators i.e. for 372,6484 is 603012

GCF of denominators i.e. for 64,450 is 2.

Thus, LCM of Fractions is 301506.Finally, LCM of Fractions for 372/64, 6484/450 is 301506.