Least Common Multiple of 190/426, 9584/3537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 190/426, 9584/3537 quickly i.e. 910480/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 190/426, 9584/3537 is 910480/3.

LCM(190/426, 9584/3537) = 910480/3

LCM of 190/426, 9584/3537

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 190/426,9584/3537

Given numbers are 190/426,9584/3537

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 190,9584

Least Common Multiple of Numerators i.e. LCM of 190,9584 is 910480.

GCF of Denominators means GCF of 426,3537 as per the given fractions.

GCF of 426,3537 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 190,9584

LCM of Fractions 190/426,9584/3537 is 910480/3

2 190, 9584
95, 4792

∴ So the LCM of the given numbers is 2 x 95 x 4792 = 910480

Least Common Multiple of 190,9584 with GCF Formula

Least Common Multiple of 190,9584 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 190,9584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,9584) = 2

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

GCF(190,9584) x common factors =2 x 1 = 2

LCM(190,9584) = ( 190 × 9584 ) / 2

LCM(190,9584) = 1820960 / 2

LCM(190,9584) = 910480


Lets's calculate GCF of 426,3537

3 426, 3537
142, 1179

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 910480/3

Therefore the LCM of Fractions 190/426,9584/3537 is 910480/3

Greatest Common Factor of 426,3537 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,3537 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 3537

List of positive integer factors of 3537 that divides 3537 without a remainder.

1,3,9,27,131,393,1179,3537

Greatest Common Factor

We found the factors 426,3537 . The biggest common factor number is the GCF number.
So the greatest common factor 426,3537 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 190/426, 9584/3537

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 190/426, 9584/3537?

Answer: LCM of Numerators as per given numbers 190/426, 9584/3537 is

LCM of Numerators i.e. for 190,9584 is 910480

GCF of denominators i.e. for 426,3537 is 3.

Thus, LCM of Fractions is 910480/3.Finally, LCM of Fractions for 190/426, 9584/3537 is 910480/3.