Least Common Multiple of 96/577, 40/807, 223/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/577, 40/807, 223/174 quickly i.e. 107040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/577, 40/807, 223/174 is 107040.

LCM(96/577, 40/807, 223/174) = 107040

LCM of 96/577, 40/807, 223/174

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 96/577,40/807,223/174

Given numbers are 96/577,40/807,223/174

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 96,40,223

Least Common Multiple of Numerators i.e. LCM of 96,40,223 is 107040.

GCF of Denominators means GCF of 577,807,174 as per the given fractions.

GCF of 577,807,174 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,40,223

LCM of Fractions 96/577,40/807,223/174 is 107040

2 96, 40, 223
2 48, 20, 223
2 24, 10, 223
12, 5, 223

∴ So the LCM of the given numbers is 2 x 2 x 2 x 12 x 5 x 223 = 107040

Least Common Multiple of 96,40,223 with GCF Formula

Least Common Multiple of 96,40,223 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 96,40,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,40,223) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(96,40,223) x common factors =1 x 8 = 8

LCM(96,40,223) = ( 96 × 40 × 223 ) / 8

LCM(96,40,223) = 856320 / 8

LCM(96,40,223) = 107040


Lets's calculate GCF of 577,807,174

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107040/1

Therefore the LCM of Fractions 96/577,40/807,223/174 is 107040

Greatest Common Factor of 577,807,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 577,807,174 By Matching Biggest Common Factor Method

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 577,807,174 . The biggest common factor number is the GCF number.
So the greatest common factor 577,807,174 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 96/577, 40/807, 223/174

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 96/577, 40/807, 223/174?

Answer: LCM of Numerators as per given numbers 96/577, 40/807, 223/174 is

LCM of Numerators i.e. for 96,40,223 is 107040

GCF of denominators i.e. for 577,807,174 is 1.

Thus, LCM of Fractions is 107040.Finally, LCM of Fractions for 96/577, 40/807, 223/174 is 107040.