Least Common Multiple of 437/37, 285/9741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 437/37, 285/9741 quickly i.e. 6555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 437/37, 285/9741 is 6555.

LCM(437/37, 285/9741) = 6555

LCM of 437/37, 285/9741

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 437/37,285/9741

Given numbers are 437/37,285/9741

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 437,285

Least Common Multiple of Numerators i.e. LCM of 437,285 is 6555.

GCF of Denominators means GCF of 37,9741 as per the given fractions.

GCF of 37,9741 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 437,285

LCM of Fractions 437/37,285/9741 is 6555

19 437, 285
23, 15

∴ So the LCM of the given numbers is 19 x 23 x 15 = 6555

Least Common Multiple of 437,285 with GCF Formula

Least Common Multiple of 437,285 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 437,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(437,285) = 19

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

GCF(437,285) x common factors =19 x 1 = 19

LCM(437,285) = ( 437 × 285 ) / 19

LCM(437,285) = 124545 / 19

LCM(437,285) = 6555


Lets's calculate GCF of 37,9741

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6555/1

Therefore the LCM of Fractions 437/37,285/9741 is 6555

Greatest Common Factor of 37,9741 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,9741 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 9741

List of positive integer factors of 9741 that divides 9741 without a remainder.

1,3,17,51,191,573,3247,9741

Greatest Common Factor

We found the factors 37,9741 . The biggest common factor number is the GCF number.
So the greatest common factor 37,9741 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 437/37, 285/9741

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 437/37, 285/9741?

Answer: LCM of Numerators as per given numbers 437/37, 285/9741 is

LCM of Numerators i.e. for 437,285 is 6555

GCF of denominators i.e. for 37,9741 is 1.

Thus, LCM of Fractions is 6555.Finally, LCM of Fractions for 437/37, 285/9741 is 6555.