Least Common Multiple of 37/426, 5689/1433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 37/426, 5689/1433 quickly i.e. 210493 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/426, 5689/1433 is 210493.

LCM(37/426, 5689/1433) = 210493

LCM of 37/426, 5689/1433

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 37/426,5689/1433

Given numbers are 37/426,5689/1433

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 37,5689

Least Common Multiple of Numerators i.e. LCM of 37,5689 is 210493.

GCF of Denominators means GCF of 426,1433 as per the given fractions.

GCF of 426,1433 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,5689

LCM of Fractions 37/426,5689/1433 is 210493

Given numbers has no common factors except 1. So, there LCM is their product i.e 210493

Least Common Multiple of 37,5689 with GCF Formula

Least Common Multiple of 37,5689 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 37,5689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,5689) = 1

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

GCF(37,5689) x common factors =1 x 1 = 1

LCM(37,5689) = ( 37 × 5689 ) / 1

LCM(37,5689) = 210493 / 1

LCM(37,5689) = 210493


Lets's calculate GCF of 426,1433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210493/1

Therefore the LCM of Fractions 37/426,5689/1433 is 210493

Greatest Common Factor of 426,1433 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,1433 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 1433

List of positive integer factors of 1433 that divides 1433 without a remainder.

1,1433

Greatest Common Factor

We found the factors 426,1433 . The biggest common factor number is the GCF number.
So the greatest common factor 426,1433 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 37/426, 5689/1433

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 37/426, 5689/1433?

Answer: LCM of Numerators as per given numbers 37/426, 5689/1433 is

LCM of Numerators i.e. for 37,5689 is 210493

GCF of denominators i.e. for 426,1433 is 1.

Thus, LCM of Fractions is 210493.Finally, LCM of Fractions for 37/426, 5689/1433 is 210493.