Least Common Multiple of 52/608, 1425/6415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 52/608, 1425/6415 quickly i.e. 74100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/608, 1425/6415 is 74100.

LCM(52/608, 1425/6415) = 74100

LCM of 52/608, 1425/6415

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 52/608,1425/6415

Given numbers are 52/608,1425/6415

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 52,1425

Least Common Multiple of Numerators i.e. LCM of 52,1425 is 74100.

GCF of Denominators means GCF of 608,6415 as per the given fractions.

GCF of 608,6415 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,1425

LCM of Fractions 52/608,1425/6415 is 74100

Given numbers has no common factors except 1. So, there LCM is their product i.e 74100

Least Common Multiple of 52,1425 with GCF Formula

Least Common Multiple of 52,1425 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 52,1425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,1425) = 1

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

GCF(52,1425) x common factors =1 x 1 = 1

LCM(52,1425) = ( 52 × 1425 ) / 1

LCM(52,1425) = 74100 / 1

LCM(52,1425) = 74100


Lets's calculate GCF of 608,6415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74100/1

Therefore the LCM of Fractions 52/608,1425/6415 is 74100

Greatest Common Factor of 608,6415 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,6415 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 6415

List of positive integer factors of 6415 that divides 6415 without a remainder.

1,5,1283,6415

Greatest Common Factor

We found the factors 608,6415 . The biggest common factor number is the GCF number.
So the greatest common factor 608,6415 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 52/608, 1425/6415

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 52/608, 1425/6415?

Answer: LCM of Numerators as per given numbers 52/608, 1425/6415 is

LCM of Numerators i.e. for 52,1425 is 74100

GCF of denominators i.e. for 608,6415 is 1.

Thus, LCM of Fractions is 74100.Finally, LCM of Fractions for 52/608, 1425/6415 is 74100.