Least Common Multiple of 814/84, 689/8121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/84, 689/8121 quickly i.e. 560846/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/84, 689/8121 is 560846/3.

LCM(814/84, 689/8121) = 560846/3

LCM of 814/84, 689/8121

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 814/84,689/8121

Given numbers are 814/84,689/8121

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 814,689

Least Common Multiple of Numerators i.e. LCM of 814,689 is 560846.

GCF of Denominators means GCF of 84,8121 as per the given fractions.

GCF of 84,8121 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,689

LCM of Fractions 814/84,689/8121 is 560846/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 560846

Least Common Multiple of 814,689 with GCF Formula

Least Common Multiple of 814,689 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 814,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,689) = 1

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

GCF(814,689) x common factors =1 x 1 = 1

LCM(814,689) = ( 814 × 689 ) / 1

LCM(814,689) = 560846 / 1

LCM(814,689) = 560846


Lets's calculate GCF of 84,8121

3 84, 8121
28, 2707

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 560846/3

Therefore the LCM of Fractions 814/84,689/8121 is 560846/3

Greatest Common Factor of 84,8121 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,8121 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 8121

List of positive integer factors of 8121 that divides 8121 without a remainder.

1,3,2707,8121

Greatest Common Factor

We found the factors 84,8121 . The biggest common factor number is the GCF number.
So the greatest common factor 84,8121 is 3.


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 814/84, 689/8121

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 814/84, 689/8121?

Answer: LCM of Numerators as per given numbers 814/84, 689/8121 is

LCM of Numerators i.e. for 814,689 is 560846

GCF of denominators i.e. for 84,8121 is 3.

Thus, LCM of Fractions is 560846/3.Finally, LCM of Fractions for 814/84, 689/8121 is 560846/3.