Least Common Multiple of 62/72, 80/31, 351/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/72, 80/31, 351/586 quickly i.e. 870480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/72, 80/31, 351/586 is 870480.

LCM(62/72, 80/31, 351/586) = 870480

LCM of 62/72, 80/31, 351/586

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 62/72,80/31,351/586

Given numbers are 62/72,80/31,351/586

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 62,80,351

Least Common Multiple of Numerators i.e. LCM of 62,80,351 is 870480.

GCF of Denominators means GCF of 72,31,586 as per the given fractions.

GCF of 72,31,586 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,80,351

LCM of Fractions 62/72,80/31,351/586 is 870480

2 62, 80, 351
31, 40, 351

∴ So the LCM of the given numbers is 2 x 31 x 40 x 351 = 870480

Least Common Multiple of 62,80,351 with GCF Formula

Least Common Multiple of 62,80,351 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 62,80,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,80,351) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,80,351) x common factors =1 x 2 = 2

LCM(62,80,351) = ( 62 × 80 × 351 ) / 2

LCM(62,80,351) = 1740960 / 2

LCM(62,80,351) = 870480


Lets's calculate GCF of 72,31,586

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 870480/1

Therefore the LCM of Fractions 62/72,80/31,351/586 is 870480

Greatest Common Factor of 72,31,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,31,586 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 72,31,586 . The biggest common factor number is the GCF number.
So the greatest common factor 72,31,586 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 62/72, 80/31, 351/586

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 62/72, 80/31, 351/586?

Answer: LCM of Numerators as per given numbers 62/72, 80/31, 351/586 is

LCM of Numerators i.e. for 62,80,351 is 870480

GCF of denominators i.e. for 72,31,586 is 1.

Thus, LCM of Fractions is 870480.Finally, LCM of Fractions for 62/72, 80/31, 351/586 is 870480.