Least Common Multiple of 535/777, 1794/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 535/777, 1794/402 quickly i.e. 319930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 535/777, 1794/402 is 319930.

LCM(535/777, 1794/402) = 319930

LCM of 535/777, 1794/402

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 535/777,1794/402

Given numbers are 535/777,1794/402

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 535,1794

Least Common Multiple of Numerators i.e. LCM of 535,1794 is 959790.

GCF of Denominators means GCF of 777,402 as per the given fractions.

GCF of 777,402 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 535,1794

LCM of Fractions 535/777,1794/402 is 319930

Given numbers has no common factors except 1. So, there LCM is their product i.e 959790

Least Common Multiple of 535,1794 with GCF Formula

Least Common Multiple of 535,1794 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 535,1794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,1794) = 1

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

GCF(535,1794) x common factors =1 x 1 = 1

LCM(535,1794) = ( 535 × 1794 ) / 1

LCM(535,1794) = 959790 / 1

LCM(535,1794) = 959790


Lets's calculate GCF of 777,402

3 777, 402
259, 134

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 959790/3

Therefore the LCM of Fractions 535/777,1794/402 is 319930

Greatest Common Factor of 777,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,402 By Matching Biggest Common Factor Method

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 777,402 . The biggest common factor number is the GCF number.
So the greatest common factor 777,402 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 535/777, 1794/402

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 535/777, 1794/402?

Answer: LCM of Numerators as per given numbers 535/777, 1794/402 is

LCM of Numerators i.e. for 535,1794 is 959790

GCF of denominators i.e. for 777,402 is 3.

Thus, LCM of Fractions is 319930.Finally, LCM of Fractions for 535/777, 1794/402 is 319930.