Least Common Multiple of 48/66, 229/60, 349/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/66, 229/60, 349/351 quickly i.e. 1278736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/66, 229/60, 349/351 is 1278736.

LCM(48/66, 229/60, 349/351) = 1278736

LCM of 48/66, 229/60, 349/351

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 48/66,229/60,349/351

Given numbers are 48/66,229/60,349/351

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 48,229,349

Least Common Multiple of Numerators i.e. LCM of 48,229,349 is 3836208.

GCF of Denominators means GCF of 66,60,351 as per the given fractions.

GCF of 66,60,351 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,229,349

LCM of Fractions 48/66,229/60,349/351 is 1278736

Given numbers has no common factors except 1. So, there LCM is their product i.e 3836208

Least Common Multiple of 48,229,349 with GCF Formula

Least Common Multiple of 48,229,349 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 48,229,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,229,349) = 1

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

GCF(48,229,349) x common factors =1 x 1 = 1

LCM(48,229,349) = ( 48 × 229 × 349 ) / 1

LCM(48,229,349) = 3836208 / 1

LCM(48,229,349) = 3836208


Lets's calculate GCF of 66,60,351

3 66, 60, 351
22, 20, 117

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3836208/3

Therefore the LCM of Fractions 48/66,229/60,349/351 is 1278736

Greatest Common Factor of 66,60,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,60,351 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 66,60,351 . The biggest common factor number is the GCF number.
So the greatest common factor 66,60,351 is 3.


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 48/66, 229/60, 349/351

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 48/66, 229/60, 349/351?

Answer: LCM of Numerators as per given numbers 48/66, 229/60, 349/351 is

LCM of Numerators i.e. for 48,229,349 is 3836208

GCF of denominators i.e. for 66,60,351 is 3.

Thus, LCM of Fractions is 1278736.Finally, LCM of Fractions for 48/66, 229/60, 349/351 is 1278736.