Least Common Multiple of 265/742, 1613/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 265/742, 1613/818 quickly i.e. 427445/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 265/742, 1613/818 is 427445/2.

LCM(265/742, 1613/818) = 427445/2

LCM of 265/742, 1613/818

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 265/742,1613/818

Given numbers are 265/742,1613/818

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 265,1613

Least Common Multiple of Numerators i.e. LCM of 265,1613 is 427445.

GCF of Denominators means GCF of 742,818 as per the given fractions.

GCF of 742,818 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 265,1613

LCM of Fractions 265/742,1613/818 is 427445/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 427445

Least Common Multiple of 265,1613 with GCF Formula

Least Common Multiple of 265,1613 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 265,1613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,1613) = 1

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

GCF(265,1613) x common factors =1 x 1 = 1

LCM(265,1613) = ( 265 × 1613 ) / 1

LCM(265,1613) = 427445 / 1

LCM(265,1613) = 427445


Lets's calculate GCF of 742,818

2 742, 818
371, 409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 427445/2

Therefore the LCM of Fractions 265/742,1613/818 is 427445/2

Greatest Common Factor of 742,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,818 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 742,818 . The biggest common factor number is the GCF number.
So the greatest common factor 742,818 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 265/742, 1613/818

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 265/742, 1613/818?

Answer: LCM of Numerators as per given numbers 265/742, 1613/818 is

LCM of Numerators i.e. for 265,1613 is 427445

GCF of denominators i.e. for 742,818 is 2.

Thus, LCM of Fractions is 427445/2.Finally, LCM of Fractions for 265/742, 1613/818 is 427445/2.