Least Common Multiple of 694/448, 122/714, 865/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 694/448, 122/714, 865/506 quickly i.e. 18309455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 694/448, 122/714, 865/506 is 18309455.

LCM(694/448, 122/714, 865/506) = 18309455

LCM of 694/448, 122/714, 865/506

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 694/448,122/714,865/506

Given numbers are 694/448,122/714,865/506

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 694,122,865

Least Common Multiple of Numerators i.e. LCM of 694,122,865 is 36618910.

GCF of Denominators means GCF of 448,714,506 as per the given fractions.

GCF of 448,714,506 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 694,122,865

LCM of Fractions 694/448,122/714,865/506 is 18309455

2 694, 122, 865
347, 61, 865

∴ So the LCM of the given numbers is 2 x 347 x 61 x 865 = 36618910

Least Common Multiple of 694,122,865 with GCF Formula

Least Common Multiple of 694,122,865 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 694,122,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,122,865) = 1

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

GCF(694,122,865) x common factors =1 x 2 = 2

LCM(694,122,865) = ( 694 × 122 × 865 ) / 2

LCM(694,122,865) = 73237820 / 2

LCM(694,122,865) = 36618910


Lets's calculate GCF of 448,714,506

2 448, 714, 506
224, 357, 253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36618910/2

Therefore the LCM of Fractions 694/448,122/714,865/506 is 18309455

Greatest Common Factor of 448,714,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,714,506 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 448,714,506 . The biggest common factor number is the GCF number.
So the greatest common factor 448,714,506 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 694/448, 122/714, 865/506

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 694/448, 122/714, 865/506?

Answer: LCM of Numerators as per given numbers 694/448, 122/714, 865/506 is

LCM of Numerators i.e. for 694,122,865 is 36618910

GCF of denominators i.e. for 448,714,506 is 2.

Thus, LCM of Fractions is 18309455.Finally, LCM of Fractions for 694/448, 122/714, 865/506 is 18309455.