Least Common Multiple of 14/374, 306/828, 311/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/374, 306/828, 311/976 quickly i.e. 333081 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/374, 306/828, 311/976 is 333081.

LCM(14/374, 306/828, 311/976) = 333081

LCM of 14/374, 306/828, 311/976

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 14/374,306/828,311/976

Given numbers are 14/374,306/828,311/976

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 14,306,311

Least Common Multiple of Numerators i.e. LCM of 14,306,311 is 666162.

GCF of Denominators means GCF of 374,828,976 as per the given fractions.

GCF of 374,828,976 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,306,311

LCM of Fractions 14/374,306/828,311/976 is 333081

2 14, 306, 311
7, 153, 311

∴ So the LCM of the given numbers is 2 x 7 x 153 x 311 = 666162

Least Common Multiple of 14,306,311 with GCF Formula

Least Common Multiple of 14,306,311 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 14,306,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,306,311) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(14,306,311) x common factors =1 x 2 = 2

LCM(14,306,311) = ( 14 × 306 × 311 ) / 2

LCM(14,306,311) = 1332324 / 2

LCM(14,306,311) = 666162


Lets's calculate GCF of 374,828,976

2 374, 828, 976
187, 414, 488

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 666162/2

Therefore the LCM of Fractions 14/374,306/828,311/976 is 333081

Greatest Common Factor of 374,828,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,828,976 By Matching Biggest Common Factor Method

Factors of 374

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

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

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 374,828,976 . The biggest common factor number is the GCF number.
So the greatest common factor 374,828,976 is 2.


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 14/374, 306/828, 311/976

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 14/374, 306/828, 311/976?

Answer: LCM of Numerators as per given numbers 14/374, 306/828, 311/976 is

LCM of Numerators i.e. for 14,306,311 is 666162

GCF of denominators i.e. for 374,828,976 is 2.

Thus, LCM of Fractions is 333081.Finally, LCM of Fractions for 14/374, 306/828, 311/976 is 333081.