Least Common Multiple of 1285/17, 4129/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1285/17, 4129/680 quickly i.e. 5305765/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1285/17, 4129/680 is 5305765/17.

LCM(1285/17, 4129/680) = 5305765/17

LCM of 1285/17, 4129/680

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 1285/17,4129/680

Given numbers are 1285/17,4129/680

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 1285,4129

Least Common Multiple of Numerators i.e. LCM of 1285,4129 is 5305765.

GCF of Denominators means GCF of 17,680 as per the given fractions.

GCF of 17,680 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1285,4129

LCM of Fractions 1285/17,4129/680 is 5305765/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 5305765

Least Common Multiple of 1285,4129 with GCF Formula

Least Common Multiple of 1285,4129 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 1285,4129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1285,4129) = 1

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

GCF(1285,4129) x common factors =1 x 1 = 1

LCM(1285,4129) = ( 1285 × 4129 ) / 1

LCM(1285,4129) = 5305765 / 1

LCM(1285,4129) = 5305765


Lets's calculate GCF of 17,680

17 17, 680
1, 40

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5305765/17

Therefore the LCM of Fractions 1285/17,4129/680 is 5305765/17

Greatest Common Factor of 17,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,680 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 17,680 . The biggest common factor number is the GCF number.
So the greatest common factor 17,680 is 17.


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 1285/17, 4129/680

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 1285/17, 4129/680?

Answer: LCM of Numerators as per given numbers 1285/17, 4129/680 is

LCM of Numerators i.e. for 1285,4129 is 5305765

GCF of denominators i.e. for 17,680 is 17.

Thus, LCM of Fractions is 5305765/17.Finally, LCM of Fractions for 1285/17, 4129/680 is 5305765/17.