Least Common Multiple of 57/465, 6473/6424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 57/465, 6473/6424 quickly i.e. 368961 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/465, 6473/6424 is 368961.

LCM(57/465, 6473/6424) = 368961

LCM of 57/465, 6473/6424

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 57/465,6473/6424

Given numbers are 57/465,6473/6424

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 57,6473

Least Common Multiple of Numerators i.e. LCM of 57,6473 is 368961.

GCF of Denominators means GCF of 465,6424 as per the given fractions.

GCF of 465,6424 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,6473

LCM of Fractions 57/465,6473/6424 is 368961

Given numbers has no common factors except 1. So, there LCM is their product i.e 368961

Least Common Multiple of 57,6473 with GCF Formula

Least Common Multiple of 57,6473 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 57,6473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,6473) = 1

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

GCF(57,6473) x common factors =1 x 1 = 1

LCM(57,6473) = ( 57 × 6473 ) / 1

LCM(57,6473) = 368961 / 1

LCM(57,6473) = 368961


Lets's calculate GCF of 465,6424

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 368961/1

Therefore the LCM of Fractions 57/465,6473/6424 is 368961

Greatest Common Factor of 465,6424 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,6424 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 6424

List of positive integer factors of 6424 that divides 6424 without a remainder.

1,2,4,8,11,22,44,73,88,146,292,584,803,1606,3212,6424

Greatest Common Factor

We found the factors 465,6424 . The biggest common factor number is the GCF number.
So the greatest common factor 465,6424 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 57/465, 6473/6424

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 57/465, 6473/6424?

Answer: LCM of Numerators as per given numbers 57/465, 6473/6424 is

LCM of Numerators i.e. for 57,6473 is 368961

GCF of denominators i.e. for 465,6424 is 1.

Thus, LCM of Fractions is 368961.Finally, LCM of Fractions for 57/465, 6473/6424 is 368961.