Least Common Multiple of 53/60, 83/30, 29/62, 26/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 53/60, 83/30, 29/62, 26/683 quickly i.e. 3316846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/60, 83/30, 29/62, 26/683 is 3316846.

LCM(53/60, 83/30, 29/62, 26/683) = 3316846

LCM of 53/60, 83/30, 29/62, 26/683

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 53/60,83/30,29/62,26/683

Given numbers are 53/60,83/30,29/62,26/683

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 53,83,29,26

Least Common Multiple of Numerators i.e. LCM of 53,83,29,26 is 3316846.

GCF of Denominators means GCF of 60,30,62,683 as per the given fractions.

GCF of 60,30,62,683 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,83,29,26

LCM of Fractions 53/60,83/30,29/62,26/683 is 3316846

Given numbers has no common factors except 1. So, there LCM is their product i.e 3316846

Least Common Multiple of 53,83,29,26 with GCF Formula

Least Common Multiple of 53,83,29,26 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 53,83,29,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,83,29,26) = 1

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

GCF(53,83,29,26) x common factors =1 x 1 = 1

LCM(53,83,29,26) = ( 53 × 83 × 29 × 26 ) / 1

LCM(53,83,29,26) = 3316846 / 1

LCM(53,83,29,26) = 3316846


Lets's calculate GCF of 60,30,62,683

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3316846/1

Therefore the LCM of Fractions 53/60,83/30,29/62,26/683 is 3316846

Greatest Common Factor of 60,30,62,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,30,62,683 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Greatest Common Factor

We found the factors 60,30,62,683 . The biggest common factor number is the GCF number.
So the greatest common factor 60,30,62,683 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 53/60, 83/30, 29/62, 26/683

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 53/60, 83/30, 29/62, 26/683?

Answer: LCM of Numerators as per given numbers 53/60, 83/30, 29/62, 26/683 is

LCM of Numerators i.e. for 53,83,29,26 is 3316846

GCF of denominators i.e. for 60,30,62,683 is 1.

Thus, LCM of Fractions is 3316846.Finally, LCM of Fractions for 53/60, 83/30, 29/62, 26/683 is 3316846.