Least Common Multiple of 83/273, 76/763, 346/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/273, 76/763, 346/457 quickly i.e. 1091284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/273, 76/763, 346/457 is 1091284.

LCM(83/273, 76/763, 346/457) = 1091284

LCM of 83/273, 76/763, 346/457

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 83/273,76/763,346/457

Given numbers are 83/273,76/763,346/457

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 83,76,346

Least Common Multiple of Numerators i.e. LCM of 83,76,346 is 1091284.

GCF of Denominators means GCF of 273,763,457 as per the given fractions.

GCF of 273,763,457 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,76,346

LCM of Fractions 83/273,76/763,346/457 is 1091284

2 83, 76, 346
83, 38, 173

∴ So the LCM of the given numbers is 2 x 83 x 38 x 173 = 1091284

Least Common Multiple of 83,76,346 with GCF Formula

Least Common Multiple of 83,76,346 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 83,76,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,76,346) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(83,76,346) x common factors =1 x 2 = 2

LCM(83,76,346) = ( 83 × 76 × 346 ) / 2

LCM(83,76,346) = 2182568 / 2

LCM(83,76,346) = 1091284


Lets's calculate GCF of 273,763,457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1091284/1

Therefore the LCM of Fractions 83/273,76/763,346/457 is 1091284

Greatest Common Factor of 273,763,457 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,763,457 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Greatest Common Factor

We found the factors 273,763,457 . The biggest common factor number is the GCF number.
So the greatest common factor 273,763,457 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 83/273, 76/763, 346/457

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 83/273, 76/763, 346/457?

Answer: LCM of Numerators as per given numbers 83/273, 76/763, 346/457 is

LCM of Numerators i.e. for 83,76,346 is 1091284

GCF of denominators i.e. for 273,763,457 is 1.

Thus, LCM of Fractions is 1091284.Finally, LCM of Fractions for 83/273, 76/763, 346/457 is 1091284.