Least Common Multiple of 608/48, 273/64, 436/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 608/48, 273/64, 436/597 quickly i.e. 18092256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 608/48, 273/64, 436/597 is 18092256.

LCM(608/48, 273/64, 436/597) = 18092256

LCM of 608/48, 273/64, 436/597

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 608/48,273/64,436/597

Given numbers are 608/48,273/64,436/597

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 608,273,436

Least Common Multiple of Numerators i.e. LCM of 608,273,436 is 18092256.

GCF of Denominators means GCF of 48,64,597 as per the given fractions.

GCF of 48,64,597 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 608,273,436

LCM of Fractions 608/48,273/64,436/597 is 18092256

2 608, 273, 436
2 304, 273, 218
152, 273, 109

∴ So the LCM of the given numbers is 2 x 2 x 152 x 273 x 109 = 18092256

Least Common Multiple of 608,273,436 with GCF Formula

Least Common Multiple of 608,273,436 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 608,273,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,273,436) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(608,273,436) x common factors =1 x 4 = 4

LCM(608,273,436) = ( 608 × 273 × 436 ) / 4

LCM(608,273,436) = 72369024 / 4

LCM(608,273,436) = 18092256


Lets's calculate GCF of 48,64,597

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18092256/1

Therefore the LCM of Fractions 608/48,273/64,436/597 is 18092256

Greatest Common Factor of 48,64,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,64,597 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

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 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 48,64,597 . The biggest common factor number is the GCF number.
So the greatest common factor 48,64,597 is 1.


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 608/48, 273/64, 436/597

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 608/48, 273/64, 436/597?

Answer: LCM of Numerators as per given numbers 608/48, 273/64, 436/597 is

LCM of Numerators i.e. for 608,273,436 is 18092256

GCF of denominators i.e. for 48,64,597 is 1.

Thus, LCM of Fractions is 18092256.Finally, LCM of Fractions for 608/48, 273/64, 436/597 is 18092256.