Least Common Multiple of 62/585, 61/620, 580/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/585, 61/620, 580/993 quickly i.e. 1096780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/585, 61/620, 580/993 is 1096780.

LCM(62/585, 61/620, 580/993) = 1096780

LCM of 62/585, 61/620, 580/993

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 62/585,61/620,580/993

Given numbers are 62/585,61/620,580/993

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 62,61,580

Least Common Multiple of Numerators i.e. LCM of 62,61,580 is 1096780.

GCF of Denominators means GCF of 585,620,993 as per the given fractions.

GCF of 585,620,993 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,61,580

LCM of Fractions 62/585,61/620,580/993 is 1096780

2 62, 61, 580
31, 61, 290

∴ So the LCM of the given numbers is 2 x 31 x 61 x 290 = 1096780

Least Common Multiple of 62,61,580 with GCF Formula

Least Common Multiple of 62,61,580 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 62,61,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,61,580) = 1

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

GCF(62,61,580) x common factors =1 x 2 = 2

LCM(62,61,580) = ( 62 × 61 × 580 ) / 2

LCM(62,61,580) = 2193560 / 2

LCM(62,61,580) = 1096780


Lets's calculate GCF of 585,620,993

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1096780/1

Therefore the LCM of Fractions 62/585,61/620,580/993 is 1096780

Greatest Common Factor of 585,620,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,620,993 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 585,620,993 . The biggest common factor number is the GCF number.
So the greatest common factor 585,620,993 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 62/585, 61/620, 580/993

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 62/585, 61/620, 580/993?

Answer: LCM of Numerators as per given numbers 62/585, 61/620, 580/993 is

LCM of Numerators i.e. for 62,61,580 is 1096780

GCF of denominators i.e. for 585,620,993 is 1.

Thus, LCM of Fractions is 1096780.Finally, LCM of Fractions for 62/585, 61/620, 580/993 is 1096780.