Least Common Multiple of 302/508, 232/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 302/508, 232/608 quickly i.e. 8758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 302/508, 232/608 is 8758.

LCM(302/508, 232/608) = 8758

LCM of 302/508, 232/608

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 302/508,232/608

Given numbers are 302/508,232/608

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 302,232

Least Common Multiple of Numerators i.e. LCM of 302,232 is 35032.

GCF of Denominators means GCF of 508,608 as per the given fractions.

GCF of 508,608 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 302,232

LCM of Fractions 302/508,232/608 is 8758

2 302, 232
151, 116

∴ So the LCM of the given numbers is 2 x 151 x 116 = 35032

Least Common Multiple of 302,232 with GCF Formula

Least Common Multiple of 302,232 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 302,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(302,232) = 2

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

GCF(302,232) x common factors =2 x 1 = 2

LCM(302,232) = ( 302 × 232 ) / 2

LCM(302,232) = 70064 / 2

LCM(302,232) = 35032


Lets's calculate GCF of 508,608

2 508, 608
2 254, 304
127, 152

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35032/4

Therefore the LCM of Fractions 302/508,232/608 is 8758

Greatest Common Factor of 508,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 508,608 By Matching Biggest Common Factor Method

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

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

Greatest Common Factor

We found the factors 508,608 . The biggest common factor number is the GCF number.
So the greatest common factor 508,608 is 4.


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 302/508, 232/608

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 302/508, 232/608?

Answer: LCM of Numerators as per given numbers 302/508, 232/608 is

LCM of Numerators i.e. for 302,232 is 35032

GCF of denominators i.e. for 508,608 is 4.

Thus, LCM of Fractions is 8758.Finally, LCM of Fractions for 302/508, 232/608 is 8758.