Least Common Multiple of 1120/304, 5593/8046

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1120/304, 5593/8046 quickly i.e. 447440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1120/304, 5593/8046 is 447440.

LCM(1120/304, 5593/8046) = 447440

LCM of 1120/304, 5593/8046

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 1120/304,5593/8046

Given numbers are 1120/304,5593/8046

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 1120,5593

Least Common Multiple of Numerators i.e. LCM of 1120,5593 is 894880.

GCF of Denominators means GCF of 304,8046 as per the given fractions.

GCF of 304,8046 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1120,5593

LCM of Fractions 1120/304,5593/8046 is 447440

7 1120, 5593
160, 799

∴ So the LCM of the given numbers is 7 x 160 x 799 = 894880

Least Common Multiple of 1120,5593 with GCF Formula

Least Common Multiple of 1120,5593 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 1120,5593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1120,5593) = 7

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

GCF(1120,5593) x common factors =7 x 1 = 7

LCM(1120,5593) = ( 1120 × 5593 ) / 7

LCM(1120,5593) = 6264160 / 7

LCM(1120,5593) = 894880


Lets's calculate GCF of 304,8046

2 304, 8046
152, 4023

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 894880/2

Therefore the LCM of Fractions 1120/304,5593/8046 is 447440

Greatest Common Factor of 304,8046 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,8046 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 8046

List of positive integer factors of 8046 that divides 8046 without a remainder.

1,2,3,6,9,18,27,54,149,298,447,894,1341,2682,4023,8046

Greatest Common Factor

We found the factors 304,8046 . The biggest common factor number is the GCF number.
So the greatest common factor 304,8046 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1120/304, 5593/8046

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 1120/304, 5593/8046?

Answer: LCM of Numerators as per given numbers 1120/304, 5593/8046 is

LCM of Numerators i.e. for 1120,5593 is 894880

GCF of denominators i.e. for 304,8046 is 2.

Thus, LCM of Fractions is 447440.Finally, LCM of Fractions for 1120/304, 5593/8046 is 447440.