Least Common Multiple of 367/254, 4536/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 367/254, 4536/510 quickly i.e. 832356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 367/254, 4536/510 is 832356.

LCM(367/254, 4536/510) = 832356

LCM of 367/254, 4536/510

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 367/254,4536/510

Given numbers are 367/254,4536/510

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 367,4536

Least Common Multiple of Numerators i.e. LCM of 367,4536 is 1664712.

GCF of Denominators means GCF of 254,510 as per the given fractions.

GCF of 254,510 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 367,4536

LCM of Fractions 367/254,4536/510 is 832356

Given numbers has no common factors except 1. So, there LCM is their product i.e 1664712

Least Common Multiple of 367,4536 with GCF Formula

Least Common Multiple of 367,4536 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 367,4536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,4536) = 1

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

GCF(367,4536) x common factors =1 x 1 = 1

LCM(367,4536) = ( 367 × 4536 ) / 1

LCM(367,4536) = 1664712 / 1

LCM(367,4536) = 1664712


Lets's calculate GCF of 254,510

2 254, 510
127, 255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1664712/2

Therefore the LCM of Fractions 367/254,4536/510 is 832356

Greatest Common Factor of 254,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,510 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 254,510 . The biggest common factor number is the GCF number.
So the greatest common factor 254,510 is 2.


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 367/254, 4536/510

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 367/254, 4536/510?

Answer: LCM of Numerators as per given numbers 367/254, 4536/510 is

LCM of Numerators i.e. for 367,4536 is 1664712

GCF of denominators i.e. for 254,510 is 2.

Thus, LCM of Fractions is 832356.Finally, LCM of Fractions for 367/254, 4536/510 is 832356.