Least Common Multiple of 73/68, 77/91, 322/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/68, 77/91, 322/833 quickly i.e. 258566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/68, 77/91, 322/833 is 258566.

LCM(73/68, 77/91, 322/833) = 258566

LCM of 73/68, 77/91, 322/833

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 73/68,77/91,322/833

Given numbers are 73/68,77/91,322/833

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 73,77,322

Least Common Multiple of Numerators i.e. LCM of 73,77,322 is 258566.

GCF of Denominators means GCF of 68,91,833 as per the given fractions.

GCF of 68,91,833 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,77,322

LCM of Fractions 73/68,77/91,322/833 is 258566

7 73, 77, 322
73, 11, 46

∴ So the LCM of the given numbers is 7 x 73 x 11 x 46 = 258566

Least Common Multiple of 73,77,322 with GCF Formula

Least Common Multiple of 73,77,322 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 73,77,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,77,322) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(73,77,322) x common factors =1 x 7 = 7

LCM(73,77,322) = ( 73 × 77 × 322 ) / 7

LCM(73,77,322) = 1809962 / 7

LCM(73,77,322) = 258566


Lets's calculate GCF of 68,91,833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 258566/1

Therefore the LCM of Fractions 73/68,77/91,322/833 is 258566

Greatest Common Factor of 68,91,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,91,833 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Greatest Common Factor

We found the factors 68,91,833 . The biggest common factor number is the GCF number.
So the greatest common factor 68,91,833 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 73/68, 77/91, 322/833

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 73/68, 77/91, 322/833?

Answer: LCM of Numerators as per given numbers 73/68, 77/91, 322/833 is

LCM of Numerators i.e. for 73,77,322 is 258566

GCF of denominators i.e. for 68,91,833 is 1.

Thus, LCM of Fractions is 258566.Finally, LCM of Fractions for 73/68, 77/91, 322/833 is 258566.