Least Common Multiple of 5684/448, 1455/6939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5684/448, 1455/6939 quickly i.e. 8270220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5684/448, 1455/6939 is 8270220.

LCM(5684/448, 1455/6939) = 8270220

LCM of 5684/448, 1455/6939

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 5684/448,1455/6939

Given numbers are 5684/448,1455/6939

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 5684,1455

Least Common Multiple of Numerators i.e. LCM of 5684,1455 is 8270220.

GCF of Denominators means GCF of 448,6939 as per the given fractions.

GCF of 448,6939 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5684,1455

LCM of Fractions 5684/448,1455/6939 is 8270220

Given numbers has no common factors except 1. So, there LCM is their product i.e 8270220

Least Common Multiple of 5684,1455 with GCF Formula

Least Common Multiple of 5684,1455 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 5684,1455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5684,1455) = 1

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

GCF(5684,1455) x common factors =1 x 1 = 1

LCM(5684,1455) = ( 5684 × 1455 ) / 1

LCM(5684,1455) = 8270220 / 1

LCM(5684,1455) = 8270220


Lets's calculate GCF of 448,6939

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8270220/1

Therefore the LCM of Fractions 5684/448,1455/6939 is 8270220

Greatest Common Factor of 448,6939 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,6939 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 6939

List of positive integer factors of 6939 that divides 6939 without a remainder.

1,3,9,27,257,771,2313,6939

Greatest Common Factor

We found the factors 448,6939 . The biggest common factor number is the GCF number.
So the greatest common factor 448,6939 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5684/448, 1455/6939

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 5684/448, 1455/6939?

Answer: LCM of Numerators as per given numbers 5684/448, 1455/6939 is

LCM of Numerators i.e. for 5684,1455 is 8270220

GCF of denominators i.e. for 448,6939 is 1.

Thus, LCM of Fractions is 8270220.Finally, LCM of Fractions for 5684/448, 1455/6939 is 8270220.