Least Common Multiple of 84/80, 37/78, 669/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/80, 37/78, 669/954 quickly i.e. 346542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/80, 37/78, 669/954 is 346542.

LCM(84/80, 37/78, 669/954) = 346542

LCM of 84/80, 37/78, 669/954

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 84/80,37/78,669/954

Given numbers are 84/80,37/78,669/954

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 84,37,669

Least Common Multiple of Numerators i.e. LCM of 84,37,669 is 693084.

GCF of Denominators means GCF of 80,78,954 as per the given fractions.

GCF of 80,78,954 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,37,669

LCM of Fractions 84/80,37/78,669/954 is 346542

3 84, 37, 669
28, 37, 223

∴ So the LCM of the given numbers is 3 x 28 x 37 x 223 = 693084

Least Common Multiple of 84,37,669 with GCF Formula

Least Common Multiple of 84,37,669 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 84,37,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,37,669) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(84,37,669) x common factors =1 x 3 = 3

LCM(84,37,669) = ( 84 × 37 × 669 ) / 3

LCM(84,37,669) = 2079252 / 3

LCM(84,37,669) = 693084


Lets's calculate GCF of 80,78,954

2 80, 78, 954
40, 39, 477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 693084/2

Therefore the LCM of Fractions 84/80,37/78,669/954 is 346542

Greatest Common Factor of 80,78,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,78,954 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 80,78,954 . The biggest common factor number is the GCF number.
So the greatest common factor 80,78,954 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 84/80, 37/78, 669/954

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 84/80, 37/78, 669/954?

Answer: LCM of Numerators as per given numbers 84/80, 37/78, 669/954 is

LCM of Numerators i.e. for 84,37,669 is 693084

GCF of denominators i.e. for 80,78,954 is 2.

Thus, LCM of Fractions is 346542.Finally, LCM of Fractions for 84/80, 37/78, 669/954 is 346542.