Least Common Multiple of 705/548, 1846/3394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/548, 1846/3394 quickly i.e. 650715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/548, 1846/3394 is 650715.

LCM(705/548, 1846/3394) = 650715

LCM of 705/548, 1846/3394

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 705/548,1846/3394

Given numbers are 705/548,1846/3394

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 705,1846

Least Common Multiple of Numerators i.e. LCM of 705,1846 is 1301430.

GCF of Denominators means GCF of 548,3394 as per the given fractions.

GCF of 548,3394 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,1846

LCM of Fractions 705/548,1846/3394 is 650715

Given numbers has no common factors except 1. So, there LCM is their product i.e 1301430

Least Common Multiple of 705,1846 with GCF Formula

Least Common Multiple of 705,1846 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 705,1846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,1846) = 1

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

GCF(705,1846) x common factors =1 x 1 = 1

LCM(705,1846) = ( 705 × 1846 ) / 1

LCM(705,1846) = 1301430 / 1

LCM(705,1846) = 1301430


Lets's calculate GCF of 548,3394

2 548, 3394
274, 1697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1301430/2

Therefore the LCM of Fractions 705/548,1846/3394 is 650715

Greatest Common Factor of 548,3394 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,3394 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 3394

List of positive integer factors of 3394 that divides 3394 without a remainder.

1,2,1697,3394

Greatest Common Factor

We found the factors 548,3394 . The biggest common factor number is the GCF number.
So the greatest common factor 548,3394 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 705/548, 1846/3394

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 705/548, 1846/3394?

Answer: LCM of Numerators as per given numbers 705/548, 1846/3394 is

LCM of Numerators i.e. for 705,1846 is 1301430

GCF of denominators i.e. for 548,3394 is 2.

Thus, LCM of Fractions is 650715.Finally, LCM of Fractions for 705/548, 1846/3394 is 650715.