Least Common Multiple of 32/637, 80/235, 311/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/637, 80/235, 311/399 quickly i.e. 49760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/637, 80/235, 311/399 is 49760.

LCM(32/637, 80/235, 311/399) = 49760

LCM of 32/637, 80/235, 311/399

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 32/637,80/235,311/399

Given numbers are 32/637,80/235,311/399

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 32,80,311

Least Common Multiple of Numerators i.e. LCM of 32,80,311 is 49760.

GCF of Denominators means GCF of 637,235,399 as per the given fractions.

GCF of 637,235,399 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,80,311

LCM of Fractions 32/637,80/235,311/399 is 49760

2 32, 80, 311
2 16, 40, 311
2 8, 20, 311
2 4, 10, 311
2, 5, 311

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 x 311 = 49760

Least Common Multiple of 32,80,311 with GCF Formula

Least Common Multiple of 32,80,311 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 32,80,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,80,311) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(32,80,311) x common factors =1 x 16 = 16

LCM(32,80,311) = ( 32 × 80 × 311 ) / 16

LCM(32,80,311) = 796160 / 16

LCM(32,80,311) = 49760


Lets's calculate GCF of 637,235,399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49760/1

Therefore the LCM of Fractions 32/637,80/235,311/399 is 49760

Greatest Common Factor of 637,235,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 637,235,399 By Matching Biggest Common Factor Method

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 637,235,399 . The biggest common factor number is the GCF number.
So the greatest common factor 637,235,399 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 32/637, 80/235, 311/399

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 32/637, 80/235, 311/399?

Answer: LCM of Numerators as per given numbers 32/637, 80/235, 311/399 is

LCM of Numerators i.e. for 32,80,311 is 49760

GCF of denominators i.e. for 637,235,399 is 1.

Thus, LCM of Fractions is 49760.Finally, LCM of Fractions for 32/637, 80/235, 311/399 is 49760.