Least Common Multiple of 689/68, 854/4502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 689/68, 854/4502 quickly i.e. 294203 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/68, 854/4502 is 294203.

LCM(689/68, 854/4502) = 294203

LCM of 689/68, 854/4502

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 689/68,854/4502

Given numbers are 689/68,854/4502

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 689,854

Least Common Multiple of Numerators i.e. LCM of 689,854 is 588406.

GCF of Denominators means GCF of 68,4502 as per the given fractions.

GCF of 68,4502 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,854

LCM of Fractions 689/68,854/4502 is 294203

Given numbers has no common factors except 1. So, there LCM is their product i.e 588406

Least Common Multiple of 689,854 with GCF Formula

Least Common Multiple of 689,854 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 689,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,854) = 1

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

GCF(689,854) x common factors =1 x 1 = 1

LCM(689,854) = ( 689 × 854 ) / 1

LCM(689,854) = 588406 / 1

LCM(689,854) = 588406


Lets's calculate GCF of 68,4502

2 68, 4502
34, 2251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 588406/2

Therefore the LCM of Fractions 689/68,854/4502 is 294203

Greatest Common Factor of 68,4502 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,4502 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 4502

List of positive integer factors of 4502 that divides 4502 without a remainder.

1,2,2251,4502

Greatest Common Factor

We found the factors 68,4502 . The biggest common factor number is the GCF number.
So the greatest common factor 68,4502 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 689/68, 854/4502

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 689/68, 854/4502?

Answer: LCM of Numerators as per given numbers 689/68, 854/4502 is

LCM of Numerators i.e. for 689,854 is 588406

GCF of denominators i.e. for 68,4502 is 2.

Thus, LCM of Fractions is 294203.Finally, LCM of Fractions for 689/68, 854/4502 is 294203.