Least Common Multiple of 73/346, 76/834, 266/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/346, 76/834, 266/559 quickly i.e. 38836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/346, 76/834, 266/559 is 38836.

LCM(73/346, 76/834, 266/559) = 38836

LCM of 73/346, 76/834, 266/559

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 73/346,76/834,266/559

Given numbers are 73/346,76/834,266/559

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 73,76,266

Least Common Multiple of Numerators i.e. LCM of 73,76,266 is 38836.

GCF of Denominators means GCF of 346,834,559 as per the given fractions.

GCF of 346,834,559 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,76,266

LCM of Fractions 73/346,76/834,266/559 is 38836

2 73, 76, 266
19 73, 38, 133
73, 2, 7

∴ So the LCM of the given numbers is 2 x 19 x 73 x 2 x 7 = 38836

Least Common Multiple of 73,76,266 with GCF Formula

Least Common Multiple of 73,76,266 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 73,76,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,76,266) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(73,76,266) x common factors =1 x 38 = 38

LCM(73,76,266) = ( 73 × 76 × 266 ) / 38

LCM(73,76,266) = 1475768 / 38

LCM(73,76,266) = 38836


Lets's calculate GCF of 346,834,559

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38836/1

Therefore the LCM of Fractions 73/346,76/834,266/559 is 38836

Greatest Common Factor of 346,834,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,834,559 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 346,834,559 . The biggest common factor number is the GCF number.
So the greatest common factor 346,834,559 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 73/346, 76/834, 266/559

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 73/346, 76/834, 266/559?

Answer: LCM of Numerators as per given numbers 73/346, 76/834, 266/559 is

LCM of Numerators i.e. for 73,76,266 is 38836

GCF of denominators i.e. for 346,834,559 is 1.

Thus, LCM of Fractions is 38836.Finally, LCM of Fractions for 73/346, 76/834, 266/559 is 38836.