Least Common Multiple of 694/144, 7149/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 694/144, 7149/346 quickly i.e. 2480703 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 694/144, 7149/346 is 2480703.

LCM(694/144, 7149/346) = 2480703

LCM of 694/144, 7149/346

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 694/144,7149/346

Given numbers are 694/144,7149/346

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 694,7149

Least Common Multiple of Numerators i.e. LCM of 694,7149 is 4961406.

GCF of Denominators means GCF of 144,346 as per the given fractions.

GCF of 144,346 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 694,7149

LCM of Fractions 694/144,7149/346 is 2480703

Given numbers has no common factors except 1. So, there LCM is their product i.e 4961406

Least Common Multiple of 694,7149 with GCF Formula

Least Common Multiple of 694,7149 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 694,7149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,7149) = 1

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

GCF(694,7149) x common factors =1 x 1 = 1

LCM(694,7149) = ( 694 × 7149 ) / 1

LCM(694,7149) = 4961406 / 1

LCM(694,7149) = 4961406


Lets's calculate GCF of 144,346

2 144, 346
72, 173

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4961406/2

Therefore the LCM of Fractions 694/144,7149/346 is 2480703

Greatest Common Factor of 144,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,346 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 346

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

1,2,173,346

Greatest Common Factor

We found the factors 144,346 . The biggest common factor number is the GCF number.
So the greatest common factor 144,346 is 2.


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 694/144, 7149/346

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 694/144, 7149/346?

Answer: LCM of Numerators as per given numbers 694/144, 7149/346 is

LCM of Numerators i.e. for 694,7149 is 4961406

GCF of denominators i.e. for 144,346 is 2.

Thus, LCM of Fractions is 2480703.Finally, LCM of Fractions for 694/144, 7149/346 is 2480703.