Least Common Multiple of 705/75, 227/36, 551/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/75, 227/36, 551/704 quickly i.e. 88179285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/75, 227/36, 551/704 is 88179285.

LCM(705/75, 227/36, 551/704) = 88179285

LCM of 705/75, 227/36, 551/704

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 705/75,227/36,551/704

Given numbers are 705/75,227/36,551/704

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 705,227,551

Least Common Multiple of Numerators i.e. LCM of 705,227,551 is 88179285.

GCF of Denominators means GCF of 75,36,704 as per the given fractions.

GCF of 75,36,704 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,227,551

LCM of Fractions 705/75,227/36,551/704 is 88179285

Given numbers has no common factors except 1. So, there LCM is their product i.e 88179285

Least Common Multiple of 705,227,551 with GCF Formula

Least Common Multiple of 705,227,551 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 705,227,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,227,551) = 1

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

GCF(705,227,551) x common factors =1 x 1 = 1

LCM(705,227,551) = ( 705 × 227 × 551 ) / 1

LCM(705,227,551) = 88179285 / 1

LCM(705,227,551) = 88179285


Lets's calculate GCF of 75,36,704

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88179285/1

Therefore the LCM of Fractions 705/75,227/36,551/704 is 88179285

Greatest Common Factor of 75,36,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,36,704 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 75,36,704 . The biggest common factor number is the GCF number.
So the greatest common factor 75,36,704 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 705/75, 227/36, 551/704

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 705/75, 227/36, 551/704?

Answer: LCM of Numerators as per given numbers 705/75, 227/36, 551/704 is

LCM of Numerators i.e. for 705,227,551 is 88179285

GCF of denominators i.e. for 75,36,704 is 1.

Thus, LCM of Fractions is 88179285.Finally, LCM of Fractions for 705/75, 227/36, 551/704 is 88179285.