Least Common Multiple of 238/14, 381/1257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 238/14, 381/1257 quickly i.e. 90678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 238/14, 381/1257 is 90678.

LCM(238/14, 381/1257) = 90678

LCM of 238/14, 381/1257

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 238/14,381/1257

Given numbers are 238/14,381/1257

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 238,381

Least Common Multiple of Numerators i.e. LCM of 238,381 is 90678.

GCF of Denominators means GCF of 14,1257 as per the given fractions.

GCF of 14,1257 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 238,381

LCM of Fractions 238/14,381/1257 is 90678

Given numbers has no common factors except 1. So, there LCM is their product i.e 90678

Least Common Multiple of 238,381 with GCF Formula

Least Common Multiple of 238,381 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 238,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,381) = 1

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

GCF(238,381) x common factors =1 x 1 = 1

LCM(238,381) = ( 238 × 381 ) / 1

LCM(238,381) = 90678 / 1

LCM(238,381) = 90678


Lets's calculate GCF of 14,1257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90678/1

Therefore the LCM of Fractions 238/14,381/1257 is 90678

Greatest Common Factor of 14,1257 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,1257 By Matching Biggest Common Factor Method

Factors of 14

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

1,2,7,14

Factors of 1257

List of positive integer factors of 1257 that divides 1257 without a remainder.

1,3,419,1257

Greatest Common Factor

We found the factors 14,1257 . The biggest common factor number is the GCF number.
So the greatest common factor 14,1257 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 238/14, 381/1257

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 238/14, 381/1257?

Answer: LCM of Numerators as per given numbers 238/14, 381/1257 is

LCM of Numerators i.e. for 238,381 is 90678

GCF of denominators i.e. for 14,1257 is 1.

Thus, LCM of Fractions is 90678.Finally, LCM of Fractions for 238/14, 381/1257 is 90678.