Least Common Multiple of 705/53, 704/4013

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/53, 704/4013 quickly i.e. 496320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/53, 704/4013 is 496320.

LCM(705/53, 704/4013) = 496320

LCM of 705/53, 704/4013

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 705/53,704/4013

Given numbers are 705/53,704/4013

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 705,704

Least Common Multiple of Numerators i.e. LCM of 705,704 is 496320.

GCF of Denominators means GCF of 53,4013 as per the given fractions.

GCF of 53,4013 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,704

LCM of Fractions 705/53,704/4013 is 496320

Given numbers has no common factors except 1. So, there LCM is their product i.e 496320

Least Common Multiple of 705,704 with GCF Formula

Least Common Multiple of 705,704 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 705,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,704) = 1

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

GCF(705,704) x common factors =1 x 1 = 1

LCM(705,704) = ( 705 × 704 ) / 1

LCM(705,704) = 496320 / 1

LCM(705,704) = 496320


Lets's calculate GCF of 53,4013

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 496320/1

Therefore the LCM of Fractions 705/53,704/4013 is 496320

Greatest Common Factor of 53,4013 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,4013 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 4013

List of positive integer factors of 4013 that divides 4013 without a remainder.

1,4013

Greatest Common Factor

We found the factors 53,4013 . The biggest common factor number is the GCF number.
So the greatest common factor 53,4013 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 705/53, 704/4013

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 705/53, 704/4013?

Answer: LCM of Numerators as per given numbers 705/53, 704/4013 is

LCM of Numerators i.e. for 705,704 is 496320

GCF of denominators i.e. for 53,4013 is 1.

Thus, LCM of Fractions is 496320.Finally, LCM of Fractions for 705/53, 704/4013 is 496320.