Least Common Multiple of 12/35, 60/14, 25/38, 88/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/35, 60/14, 25/38, 88/231 quickly i.e. 6600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/35, 60/14, 25/38, 88/231 is 6600.

LCM(12/35, 60/14, 25/38, 88/231) = 6600

LCM of 12/35, 60/14, 25/38, 88/231

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 12/35,60/14,25/38,88/231

Given numbers are 12/35,60/14,25/38,88/231

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 12,60,25,88

Least Common Multiple of Numerators i.e. LCM of 12,60,25,88 is 6600.

GCF of Denominators means GCF of 35,14,38,231 as per the given fractions.

GCF of 35,14,38,231 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,60,25,88

LCM of Fractions 12/35,60/14,25/38,88/231 is 6600

2 12, 60, 25, 88
2 6, 30, 25, 44
3 3, 15, 25, 22
5 1, 5, 25, 22
1, 1, 5, 22

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 1 x 5 x 22 = 6600

Least Common Multiple of 12,60,25,88 with GCF Formula

Least Common Multiple of 12,60,25,88 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 12,60,25,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,60,25,88) = 1

common factors(in case of two or more numbers have common factors) = 240

GCF(12,60,25,88) x common factors =1 x 240 = 240

LCM(12,60,25,88) = ( 12 × 60 × 25 × 88 ) / 240

LCM(12,60,25,88) = 1584000 / 240

LCM(12,60,25,88) = 6600


Lets's calculate GCF of 35,14,38,231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6600/1

Therefore the LCM of Fractions 12/35,60/14,25/38,88/231 is 6600

Greatest Common Factor of 35,14,38,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,14,38,231 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 35,14,38,231 . The biggest common factor number is the GCF number.
So the greatest common factor 35,14,38,231 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 12/35, 60/14, 25/38, 88/231

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 12/35, 60/14, 25/38, 88/231?

Answer: LCM of Numerators as per given numbers 12/35, 60/14, 25/38, 88/231 is

LCM of Numerators i.e. for 12,60,25,88 is 6600

GCF of denominators i.e. for 35,14,38,231 is 1.

Thus, LCM of Fractions is 6600.Finally, LCM of Fractions for 12/35, 60/14, 25/38, 88/231 is 6600.