Least Common Multiple of 67/778, 288/723, 950/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/778, 288/723, 950/293 quickly i.e. 9165600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/778, 288/723, 950/293 is 9165600.

LCM(67/778, 288/723, 950/293) = 9165600

LCM of 67/778, 288/723, 950/293

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 67/778,288/723,950/293

Given numbers are 67/778,288/723,950/293

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 67,288,950

Least Common Multiple of Numerators i.e. LCM of 67,288,950 is 9165600.

GCF of Denominators means GCF of 778,723,293 as per the given fractions.

GCF of 778,723,293 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,288,950

LCM of Fractions 67/778,288/723,950/293 is 9165600

2 67, 288, 950
67, 144, 475

∴ So the LCM of the given numbers is 2 x 67 x 144 x 475 = 9165600

Least Common Multiple of 67,288,950 with GCF Formula

Least Common Multiple of 67,288,950 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 67,288,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,288,950) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(67,288,950) x common factors =1 x 2 = 2

LCM(67,288,950) = ( 67 × 288 × 950 ) / 2

LCM(67,288,950) = 18331200 / 2

LCM(67,288,950) = 9165600


Lets's calculate GCF of 778,723,293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9165600/1

Therefore the LCM of Fractions 67/778,288/723,950/293 is 9165600

Greatest Common Factor of 778,723,293 By Matching Biggest Common Factor Method

Greatest Common Factor of 778,723,293 By Matching Biggest Common Factor Method

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Greatest Common Factor

We found the factors 778,723,293 . The biggest common factor number is the GCF number.
So the greatest common factor 778,723,293 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 67/778, 288/723, 950/293

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 67/778, 288/723, 950/293?

Answer: LCM of Numerators as per given numbers 67/778, 288/723, 950/293 is

LCM of Numerators i.e. for 67,288,950 is 9165600

GCF of denominators i.e. for 778,723,293 is 1.

Thus, LCM of Fractions is 9165600.Finally, LCM of Fractions for 67/778, 288/723, 950/293 is 9165600.