Least Common Multiple of 705/43, 476/7505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/43, 476/7505 quickly i.e. 335580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/43, 476/7505 is 335580.

LCM(705/43, 476/7505) = 335580

LCM of 705/43, 476/7505

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 705/43,476/7505

Given numbers are 705/43,476/7505

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 705,476

Least Common Multiple of Numerators i.e. LCM of 705,476 is 335580.

GCF of Denominators means GCF of 43,7505 as per the given fractions.

GCF of 43,7505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,476

LCM of Fractions 705/43,476/7505 is 335580

Given numbers has no common factors except 1. So, there LCM is their product i.e 335580

Least Common Multiple of 705,476 with GCF Formula

Least Common Multiple of 705,476 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 705,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,476) = 1

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

GCF(705,476) x common factors =1 x 1 = 1

LCM(705,476) = ( 705 × 476 ) / 1

LCM(705,476) = 335580 / 1

LCM(705,476) = 335580


Lets's calculate GCF of 43,7505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 335580/1

Therefore the LCM of Fractions 705/43,476/7505 is 335580

Greatest Common Factor of 43,7505 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,7505 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 7505

List of positive integer factors of 7505 that divides 7505 without a remainder.

1,5,19,79,95,395,1501,7505

Greatest Common Factor

We found the factors 43,7505 . The biggest common factor number is the GCF number.
So the greatest common factor 43,7505 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 705/43, 476/7505

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 705/43, 476/7505?

Answer: LCM of Numerators as per given numbers 705/43, 476/7505 is

LCM of Numerators i.e. for 705,476 is 335580

GCF of denominators i.e. for 43,7505 is 1.

Thus, LCM of Fractions is 335580.Finally, LCM of Fractions for 705/43, 476/7505 is 335580.