Least Common Multiple of 53/284, 1729/3156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/284, 1729/3156 quickly i.e. 91637/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/284, 1729/3156 is 91637/4.

LCM(53/284, 1729/3156) = 91637/4

LCM of 53/284, 1729/3156

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 53/284,1729/3156

Given numbers are 53/284,1729/3156

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 53,1729

Least Common Multiple of Numerators i.e. LCM of 53,1729 is 91637.

GCF of Denominators means GCF of 284,3156 as per the given fractions.

GCF of 284,3156 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,1729

LCM of Fractions 53/284,1729/3156 is 91637/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 91637

Least Common Multiple of 53,1729 with GCF Formula

Least Common Multiple of 53,1729 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 53,1729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,1729) = 1

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

GCF(53,1729) x common factors =1 x 1 = 1

LCM(53,1729) = ( 53 × 1729 ) / 1

LCM(53,1729) = 91637 / 1

LCM(53,1729) = 91637


Lets's calculate GCF of 284,3156

2 284, 3156
2 142, 1578
71, 789

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91637/4

Therefore the LCM of Fractions 53/284,1729/3156 is 91637/4

Greatest Common Factor of 284,3156 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,3156 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 3156

List of positive integer factors of 3156 that divides 3156 without a remainder.

1,2,3,4,6,12,263,526,789,1052,1578,3156

Greatest Common Factor

We found the factors 284,3156 . The biggest common factor number is the GCF number.
So the greatest common factor 284,3156 is 4.


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 53/284, 1729/3156

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 53/284, 1729/3156?

Answer: LCM of Numerators as per given numbers 53/284, 1729/3156 is

LCM of Numerators i.e. for 53,1729 is 91637

GCF of denominators i.e. for 284,3156 is 4.

Thus, LCM of Fractions is 91637/4.Finally, LCM of Fractions for 53/284, 1729/3156 is 91637/4.