Least Common Multiple of 265/746, 311/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 265/746, 311/786 quickly i.e. 82415/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 265/746, 311/786 is 82415/2.

LCM(265/746, 311/786) = 82415/2

LCM of 265/746, 311/786

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 265/746,311/786

Given numbers are 265/746,311/786

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 265,311

Least Common Multiple of Numerators i.e. LCM of 265,311 is 82415.

GCF of Denominators means GCF of 746,786 as per the given fractions.

GCF of 746,786 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 265,311

LCM of Fractions 265/746,311/786 is 82415/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 82415

Least Common Multiple of 265,311 with GCF Formula

Least Common Multiple of 265,311 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 265,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,311) = 1

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

GCF(265,311) x common factors =1 x 1 = 1

LCM(265,311) = ( 265 × 311 ) / 1

LCM(265,311) = 82415 / 1

LCM(265,311) = 82415


Lets's calculate GCF of 746,786

2 746, 786
373, 393

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82415/2

Therefore the LCM of Fractions 265/746,311/786 is 82415/2

Greatest Common Factor of 746,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,786 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 746,786 . The biggest common factor number is the GCF number.
So the greatest common factor 746,786 is 2.


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 265/746, 311/786

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 265/746, 311/786?

Answer: LCM of Numerators as per given numbers 265/746, 311/786 is

LCM of Numerators i.e. for 265,311 is 82415

GCF of denominators i.e. for 746,786 is 2.

Thus, LCM of Fractions is 82415/2.Finally, LCM of Fractions for 265/746, 311/786 is 82415/2.