Least Common Multiple of 705/47, 475/8384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/47, 475/8384 quickly i.e. 66975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/47, 475/8384 is 66975.

LCM(705/47, 475/8384) = 66975

LCM of 705/47, 475/8384

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 705/47,475/8384

Given numbers are 705/47,475/8384

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 705,475

Least Common Multiple of Numerators i.e. LCM of 705,475 is 66975.

GCF of Denominators means GCF of 47,8384 as per the given fractions.

GCF of 47,8384 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,475

LCM of Fractions 705/47,475/8384 is 66975

5 705, 475
141, 95

∴ So the LCM of the given numbers is 5 x 141 x 95 = 66975

Least Common Multiple of 705,475 with GCF Formula

Least Common Multiple of 705,475 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 705,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,475) = 5

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

GCF(705,475) x common factors =5 x 1 = 5

LCM(705,475) = ( 705 × 475 ) / 5

LCM(705,475) = 334875 / 5

LCM(705,475) = 66975


Lets's calculate GCF of 47,8384

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66975/1

Therefore the LCM of Fractions 705/47,475/8384 is 66975

Greatest Common Factor of 47,8384 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,8384 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 8384

List of positive integer factors of 8384 that divides 8384 without a remainder.

1,2,4,8,16,32,64,131,262,524,1048,2096,4192,8384

Greatest Common Factor

We found the factors 47,8384 . The biggest common factor number is the GCF number.
So the greatest common factor 47,8384 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 705/47, 475/8384

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 705/47, 475/8384?

Answer: LCM of Numerators as per given numbers 705/47, 475/8384 is

LCM of Numerators i.e. for 705,475 is 66975

GCF of denominators i.e. for 47,8384 is 1.

Thus, LCM of Fractions is 66975.Finally, LCM of Fractions for 705/47, 475/8384 is 66975.