Least Common Multiple of 31/53, 32/95, 53/19, 37/673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 31/53, 32/95, 53/19, 37/673 quickly i.e. 1945312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/53, 32/95, 53/19, 37/673 is 1945312.

LCM(31/53, 32/95, 53/19, 37/673) = 1945312

LCM of 31/53, 32/95, 53/19, 37/673

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 31/53,32/95,53/19,37/673

Given numbers are 31/53,32/95,53/19,37/673

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 31,32,53,37

Least Common Multiple of Numerators i.e. LCM of 31,32,53,37 is 1945312.

GCF of Denominators means GCF of 53,95,19,673 as per the given fractions.

GCF of 53,95,19,673 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,32,53,37

LCM of Fractions 31/53,32/95,53/19,37/673 is 1945312

Given numbers has no common factors except 1. So, there LCM is their product i.e 1945312

Least Common Multiple of 31,32,53,37 with GCF Formula

Least Common Multiple of 31,32,53,37 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 31,32,53,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,32,53,37) = 1

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

GCF(31,32,53,37) x common factors =1 x 1 = 1

LCM(31,32,53,37) = ( 31 × 32 × 53 × 37 ) / 1

LCM(31,32,53,37) = 1945312 / 1

LCM(31,32,53,37) = 1945312


Lets's calculate GCF of 53,95,19,673

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1945312/1

Therefore the LCM of Fractions 31/53,32/95,53/19,37/673 is 1945312

Greatest Common Factor of 53,95,19,673 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,95,19,673 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Greatest Common Factor

We found the factors 53,95,19,673 . The biggest common factor number is the GCF number.
So the greatest common factor 53,95,19,673 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 31/53, 32/95, 53/19, 37/673

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 31/53, 32/95, 53/19, 37/673?

Answer: LCM of Numerators as per given numbers 31/53, 32/95, 53/19, 37/673 is

LCM of Numerators i.e. for 31,32,53,37 is 1945312

GCF of denominators i.e. for 53,95,19,673 is 1.

Thus, LCM of Fractions is 1945312.Finally, LCM of Fractions for 31/53, 32/95, 53/19, 37/673 is 1945312.