Least Common Multiple of 378/90, 704/5669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/90, 704/5669 quickly i.e. 133056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/90, 704/5669 is 133056.

LCM(378/90, 704/5669) = 133056

LCM of 378/90, 704/5669

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 378/90,704/5669

Given numbers are 378/90,704/5669

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 378,704

Least Common Multiple of Numerators i.e. LCM of 378,704 is 133056.

GCF of Denominators means GCF of 90,5669 as per the given fractions.

GCF of 90,5669 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,704

LCM of Fractions 378/90,704/5669 is 133056

2 378, 704
189, 352

∴ So the LCM of the given numbers is 2 x 189 x 352 = 133056

Least Common Multiple of 378,704 with GCF Formula

Least Common Multiple of 378,704 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 378,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,704) = 2

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

GCF(378,704) x common factors =2 x 1 = 2

LCM(378,704) = ( 378 × 704 ) / 2

LCM(378,704) = 266112 / 2

LCM(378,704) = 133056


Lets's calculate GCF of 90,5669

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133056/1

Therefore the LCM of Fractions 378/90,704/5669 is 133056

Greatest Common Factor of 90,5669 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,5669 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 5669

List of positive integer factors of 5669 that divides 5669 without a remainder.

1,5669

Greatest Common Factor

We found the factors 90,5669 . The biggest common factor number is the GCF number.
So the greatest common factor 90,5669 is 1.


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 378/90, 704/5669

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 378/90, 704/5669?

Answer: LCM of Numerators as per given numbers 378/90, 704/5669 is

LCM of Numerators i.e. for 378,704 is 133056

GCF of denominators i.e. for 90,5669 is 1.

Thus, LCM of Fractions is 133056.Finally, LCM of Fractions for 378/90, 704/5669 is 133056.