Least Common Multiple of 1160/38, 9573/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1160/38, 9573/392 quickly i.e. 5552340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1160/38, 9573/392 is 5552340.

LCM(1160/38, 9573/392) = 5552340

LCM of 1160/38, 9573/392

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 1160/38,9573/392

Given numbers are 1160/38,9573/392

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 1160,9573

Least Common Multiple of Numerators i.e. LCM of 1160,9573 is 11104680.

GCF of Denominators means GCF of 38,392 as per the given fractions.

GCF of 38,392 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1160,9573

LCM of Fractions 1160/38,9573/392 is 5552340

Given numbers has no common factors except 1. So, there LCM is their product i.e 11104680

Least Common Multiple of 1160,9573 with GCF Formula

Least Common Multiple of 1160,9573 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 1160,9573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1160,9573) = 1

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

GCF(1160,9573) x common factors =1 x 1 = 1

LCM(1160,9573) = ( 1160 × 9573 ) / 1

LCM(1160,9573) = 11104680 / 1

LCM(1160,9573) = 11104680


Lets's calculate GCF of 38,392

2 38, 392
19, 196

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11104680/2

Therefore the LCM of Fractions 1160/38,9573/392 is 5552340

Greatest Common Factor of 38,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,392 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 38,392 . The biggest common factor number is the GCF number.
So the greatest common factor 38,392 is 2.


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Frequently Asked Questions on Fractional LCM of 1160/38, 9573/392

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 1160/38, 9573/392?

Answer: LCM of Numerators as per given numbers 1160/38, 9573/392 is

LCM of Numerators i.e. for 1160,9573 is 11104680

GCF of denominators i.e. for 38,392 is 2.

Thus, LCM of Fractions is 5552340.Finally, LCM of Fractions for 1160/38, 9573/392 is 5552340.