Least Common Multiple of 762/933, 618/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 762/933, 618/813 quickly i.e. 26162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 762/933, 618/813 is 26162.

LCM(762/933, 618/813) = 26162

LCM of 762/933, 618/813

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 762/933,618/813

Given numbers are 762/933,618/813

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 762,618

Least Common Multiple of Numerators i.e. LCM of 762,618 is 78486.

GCF of Denominators means GCF of 933,813 as per the given fractions.

GCF of 933,813 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 762,618

LCM of Fractions 762/933,618/813 is 26162

2 762, 618
3 381, 309
127, 103

∴ So the LCM of the given numbers is 2 x 3 x 127 x 103 = 78486

Least Common Multiple of 762,618 with GCF Formula

Least Common Multiple of 762,618 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 762,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,618) = 6

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

GCF(762,618) x common factors =6 x 1 = 6

LCM(762,618) = ( 762 × 618 ) / 6

LCM(762,618) = 470916 / 6

LCM(762,618) = 78486


Lets's calculate GCF of 933,813

3 933, 813
311, 271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78486/3

Therefore the LCM of Fractions 762/933,618/813 is 26162

Greatest Common Factor of 933,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,813 By Matching Biggest Common Factor Method

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 933,813 . The biggest common factor number is the GCF number.
So the greatest common factor 933,813 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 762/933, 618/813

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 762/933, 618/813?

Answer: LCM of Numerators as per given numbers 762/933, 618/813 is

LCM of Numerators i.e. for 762,618 is 78486

GCF of denominators i.e. for 933,813 is 3.

Thus, LCM of Fractions is 26162.Finally, LCM of Fractions for 762/933, 618/813 is 26162.