Least Common Multiple of 68/231, 1251/3784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/231, 1251/3784 quickly i.e. 85068/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/231, 1251/3784 is 85068/11.

LCM(68/231, 1251/3784) = 85068/11

LCM of 68/231, 1251/3784

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 68/231,1251/3784

Given numbers are 68/231,1251/3784

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 68,1251

Least Common Multiple of Numerators i.e. LCM of 68,1251 is 85068.

GCF of Denominators means GCF of 231,3784 as per the given fractions.

GCF of 231,3784 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,1251

LCM of Fractions 68/231,1251/3784 is 85068/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 85068

Least Common Multiple of 68,1251 with GCF Formula

Least Common Multiple of 68,1251 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 68,1251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,1251) = 1

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

GCF(68,1251) x common factors =1 x 1 = 1

LCM(68,1251) = ( 68 × 1251 ) / 1

LCM(68,1251) = 85068 / 1

LCM(68,1251) = 85068


Lets's calculate GCF of 231,3784

11 231, 3784
21, 344

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85068/11

Therefore the LCM of Fractions 68/231,1251/3784 is 85068/11

Greatest Common Factor of 231,3784 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,3784 By Matching Biggest Common Factor Method

Factors of 231

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

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

Factors of 3784

List of positive integer factors of 3784 that divides 3784 without a remainder.

1,2,4,8,11,22,43,44,86,88,172,344,473,946,1892,3784

Greatest Common Factor

We found the factors 231,3784 . The biggest common factor number is the GCF number.
So the greatest common factor 231,3784 is 11.


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 68/231, 1251/3784

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 68/231, 1251/3784?

Answer: LCM of Numerators as per given numbers 68/231, 1251/3784 is

LCM of Numerators i.e. for 68,1251 is 85068

GCF of denominators i.e. for 231,3784 is 11.

Thus, LCM of Fractions is 85068/11.Finally, LCM of Fractions for 68/231, 1251/3784 is 85068/11.