Least Common Multiple of 602/88, 270/64, 361/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 602/88, 270/64, 361/442 quickly i.e. 14669235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 602/88, 270/64, 361/442 is 14669235.

LCM(602/88, 270/64, 361/442) = 14669235

LCM of 602/88, 270/64, 361/442

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 602/88,270/64,361/442

Given numbers are 602/88,270/64,361/442

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 602,270,361

Least Common Multiple of Numerators i.e. LCM of 602,270,361 is 29338470.

GCF of Denominators means GCF of 88,64,442 as per the given fractions.

GCF of 88,64,442 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 602,270,361

LCM of Fractions 602/88,270/64,361/442 is 14669235

2 602, 270, 361
301, 135, 361

∴ So the LCM of the given numbers is 2 x 301 x 135 x 361 = 29338470

Least Common Multiple of 602,270,361 with GCF Formula

Least Common Multiple of 602,270,361 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 602,270,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(602,270,361) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(602,270,361) x common factors =1 x 2 = 2

LCM(602,270,361) = ( 602 × 270 × 361 ) / 2

LCM(602,270,361) = 58676940 / 2

LCM(602,270,361) = 29338470


Lets's calculate GCF of 88,64,442

2 88, 64, 442
44, 32, 221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29338470/2

Therefore the LCM of Fractions 602/88,270/64,361/442 is 14669235

Greatest Common Factor of 88,64,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,64,442 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

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 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 88,64,442 . The biggest common factor number is the GCF number.
So the greatest common factor 88,64,442 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 602/88, 270/64, 361/442

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 602/88, 270/64, 361/442?

Answer: LCM of Numerators as per given numbers 602/88, 270/64, 361/442 is

LCM of Numerators i.e. for 602,270,361 is 29338470

GCF of denominators i.e. for 88,64,442 is 2.

Thus, LCM of Fractions is 14669235.Finally, LCM of Fractions for 602/88, 270/64, 361/442 is 14669235.