Least Common Multiple of 662/16, 969/1812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 662/16, 969/1812 quickly i.e. 641478/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 662/16, 969/1812 is 641478/4.

LCM(662/16, 969/1812) = 641478/4

LCM of 662/16, 969/1812

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 662/16,969/1812

Given numbers are 662/16,969/1812

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 662,969

Least Common Multiple of Numerators i.e. LCM of 662,969 is 641478.

GCF of Denominators means GCF of 16,1812 as per the given fractions.

GCF of 16,1812 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 662,969

LCM of Fractions 662/16,969/1812 is 641478/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 641478

Least Common Multiple of 662,969 with GCF Formula

Least Common Multiple of 662,969 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 662,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(662,969) = 1

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

GCF(662,969) x common factors =1 x 1 = 1

LCM(662,969) = ( 662 × 969 ) / 1

LCM(662,969) = 641478 / 1

LCM(662,969) = 641478


Lets's calculate GCF of 16,1812

2 16, 1812
2 8, 906
4, 453

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 641478/4

Therefore the LCM of Fractions 662/16,969/1812 is 641478/4

Greatest Common Factor of 16,1812 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,1812 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 1812

List of positive integer factors of 1812 that divides 1812 without a remainder.

1,2,3,4,6,12,151,302,453,604,906,1812

Greatest Common Factor

We found the factors 16,1812 . The biggest common factor number is the GCF number.
So the greatest common factor 16,1812 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 662/16, 969/1812

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 662/16, 969/1812?

Answer: LCM of Numerators as per given numbers 662/16, 969/1812 is

LCM of Numerators i.e. for 662,969 is 641478

GCF of denominators i.e. for 16,1812 is 4.

Thus, LCM of Fractions is 641478/4.Finally, LCM of Fractions for 662/16, 969/1812 is 641478/4.