Least Common Multiple of 14/920, 15/620, 859/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/920, 15/620, 859/308 quickly i.e. 180390/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/920, 15/620, 859/308 is 180390/4.

LCM(14/920, 15/620, 859/308) = 180390/4

LCM of 14/920, 15/620, 859/308

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 14/920,15/620,859/308

Given numbers are 14/920,15/620,859/308

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 14,15,859

Least Common Multiple of Numerators i.e. LCM of 14,15,859 is 180390.

GCF of Denominators means GCF of 920,620,308 as per the given fractions.

GCF of 920,620,308 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,15,859

LCM of Fractions 14/920,15/620,859/308 is 180390/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 180390

Least Common Multiple of 14,15,859 with GCF Formula

Least Common Multiple of 14,15,859 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 14,15,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,15,859) = 1

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

GCF(14,15,859) x common factors =1 x 1 = 1

LCM(14,15,859) = ( 14 × 15 × 859 ) / 1

LCM(14,15,859) = 180390 / 1

LCM(14,15,859) = 180390


Lets's calculate GCF of 920,620,308

2 920, 620, 308
2 460, 310, 154
230, 155, 77

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180390/4

Therefore the LCM of Fractions 14/920,15/620,859/308 is 180390/4

Greatest Common Factor of 920,620,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,620,308 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 920,620,308 . The biggest common factor number is the GCF number.
So the greatest common factor 920,620,308 is 4.


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 14/920, 15/620, 859/308

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 14/920, 15/620, 859/308?

Answer: LCM of Numerators as per given numbers 14/920, 15/620, 859/308 is

LCM of Numerators i.e. for 14,15,859 is 180390

GCF of denominators i.e. for 920,620,308 is 4.

Thus, LCM of Fractions is 180390/4.Finally, LCM of Fractions for 14/920, 15/620, 859/308 is 180390/4.