Least Common Multiple of 34/633, 48/723, 346/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/633, 48/723, 346/913 quickly i.e. 141168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/633, 48/723, 346/913 is 141168.

LCM(34/633, 48/723, 346/913) = 141168

LCM of 34/633, 48/723, 346/913

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 34/633,48/723,346/913

Given numbers are 34/633,48/723,346/913

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 34,48,346

Least Common Multiple of Numerators i.e. LCM of 34,48,346 is 141168.

GCF of Denominators means GCF of 633,723,913 as per the given fractions.

GCF of 633,723,913 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,48,346

LCM of Fractions 34/633,48/723,346/913 is 141168

2 34, 48, 346
17, 24, 173

∴ So the LCM of the given numbers is 2 x 17 x 24 x 173 = 141168

Least Common Multiple of 34,48,346 with GCF Formula

Least Common Multiple of 34,48,346 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 34,48,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,48,346) = 2

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

GCF(34,48,346) x common factors =2 x 2 = 4

LCM(34,48,346) = ( 34 × 48 × 346 ) / 4

LCM(34,48,346) = 564672 / 4

LCM(34,48,346) = 141168


Lets's calculate GCF of 633,723,913

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141168/1

Therefore the LCM of Fractions 34/633,48/723,346/913 is 141168

Greatest Common Factor of 633,723,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,723,913 By Matching Biggest Common Factor Method

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Greatest Common Factor

We found the factors 633,723,913 . The biggest common factor number is the GCF number.
So the greatest common factor 633,723,913 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 34/633, 48/723, 346/913

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 34/633, 48/723, 346/913?

Answer: LCM of Numerators as per given numbers 34/633, 48/723, 346/913 is

LCM of Numerators i.e. for 34,48,346 is 141168

GCF of denominators i.e. for 633,723,913 is 1.

Thus, LCM of Fractions is 141168.Finally, LCM of Fractions for 34/633, 48/723, 346/913 is 141168.