Least Common Multiple of 34/781, 14/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/781, 14/374 quickly i.e. 238/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/781, 14/374 is 238/11.

LCM(34/781, 14/374) = 238/11

LCM of 34/781, 14/374

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 34/781,14/374

Given numbers are 34/781,14/374

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 34,14

Least Common Multiple of Numerators i.e. LCM of 34,14 is 238.

GCF of Denominators means GCF of 781,374 as per the given fractions.

GCF of 781,374 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,14

LCM of Fractions 34/781,14/374 is 238/11

2 34, 14
17, 7

∴ So the LCM of the given numbers is 2 x 17 x 7 = 238

Least Common Multiple of 34,14 with GCF Formula

Least Common Multiple of 34,14 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 34,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,14) = 2

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

GCF(34,14) x common factors =2 x 1 = 2

LCM(34,14) = ( 34 × 14 ) / 2

LCM(34,14) = 476 / 2

LCM(34,14) = 238


Lets's calculate GCF of 781,374

11 781, 374
71, 34

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238/11

Therefore the LCM of Fractions 34/781,14/374 is 238/11

Greatest Common Factor of 781,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,374 By Matching Biggest Common Factor Method

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 781,374 . The biggest common factor number is the GCF number.
So the greatest common factor 781,374 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 34/781, 14/374

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 34/781, 14/374?

Answer: LCM of Numerators as per given numbers 34/781, 14/374 is

LCM of Numerators i.e. for 34,14 is 238

GCF of denominators i.e. for 781,374 is 11.

Thus, LCM of Fractions is 238/11.Finally, LCM of Fractions for 34/781, 14/374 is 238/11.