Least Common Multiple of 14/280, 238/761, 371/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/280, 238/761, 371/185 quickly i.e. 12614 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/280, 238/761, 371/185 is 12614.

LCM(14/280, 238/761, 371/185) = 12614

LCM of 14/280, 238/761, 371/185

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 14/280,238/761,371/185

Given numbers are 14/280,238/761,371/185

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 14,238,371

Least Common Multiple of Numerators i.e. LCM of 14,238,371 is 12614.

GCF of Denominators means GCF of 280,761,185 as per the given fractions.

GCF of 280,761,185 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,238,371

LCM of Fractions 14/280,238/761,371/185 is 12614

2 14, 238, 371
7 7, 119, 371
1, 17, 53

∴ So the LCM of the given numbers is 2 x 7 x 1 x 17 x 53 = 12614

Least Common Multiple of 14,238,371 with GCF Formula

Least Common Multiple of 14,238,371 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 14,238,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,238,371) = 7

common factors(in case of two or more numbers have common factors) = 14

GCF(14,238,371) x common factors =7 x 14 = 98

LCM(14,238,371) = ( 14 × 238 × 371 ) / 98

LCM(14,238,371) = 1236172 / 98

LCM(14,238,371) = 12614


Lets's calculate GCF of 280,761,185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12614/1

Therefore the LCM of Fractions 14/280,238/761,371/185 is 12614

Greatest Common Factor of 280,761,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,761,185 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 280,761,185 . The biggest common factor number is the GCF number.
So the greatest common factor 280,761,185 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 14/280, 238/761, 371/185

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 14/280, 238/761, 371/185?

Answer: LCM of Numerators as per given numbers 14/280, 238/761, 371/185 is

LCM of Numerators i.e. for 14,238,371 is 12614

GCF of denominators i.e. for 280,761,185 is 1.

Thus, LCM of Fractions is 12614.Finally, LCM of Fractions for 14/280, 238/761, 371/185 is 12614.