Least Common Multiple of 705/778, 1464/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/778, 1464/626 quickly i.e. 172020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/778, 1464/626 is 172020.

LCM(705/778, 1464/626) = 172020

LCM of 705/778, 1464/626

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 705/778,1464/626

Given numbers are 705/778,1464/626

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 705,1464

Least Common Multiple of Numerators i.e. LCM of 705,1464 is 344040.

GCF of Denominators means GCF of 778,626 as per the given fractions.

GCF of 778,626 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,1464

LCM of Fractions 705/778,1464/626 is 172020

3 705, 1464
235, 488

∴ So the LCM of the given numbers is 3 x 235 x 488 = 344040

Least Common Multiple of 705,1464 with GCF Formula

Least Common Multiple of 705,1464 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 705,1464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,1464) = 3

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

GCF(705,1464) x common factors =3 x 1 = 3

LCM(705,1464) = ( 705 × 1464 ) / 3

LCM(705,1464) = 1032120 / 3

LCM(705,1464) = 344040


Lets's calculate GCF of 778,626

2 778, 626
389, 313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 344040/2

Therefore the LCM of Fractions 705/778,1464/626 is 172020

Greatest Common Factor of 778,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 778,626 By Matching Biggest Common Factor Method

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 778,626 . The biggest common factor number is the GCF number.
So the greatest common factor 778,626 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 705/778, 1464/626

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 705/778, 1464/626?

Answer: LCM of Numerators as per given numbers 705/778, 1464/626 is

LCM of Numerators i.e. for 705,1464 is 344040

GCF of denominators i.e. for 778,626 is 2.

Thus, LCM of Fractions is 172020.Finally, LCM of Fractions for 705/778, 1464/626 is 172020.