Least Common Multiple of 346/502, 468/554, 873/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 346/502, 468/554, 873/960 quickly i.e. 3926754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 346/502, 468/554, 873/960 is 3926754.

LCM(346/502, 468/554, 873/960) = 3926754

LCM of 346/502, 468/554, 873/960

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 346/502,468/554,873/960

Given numbers are 346/502,468/554,873/960

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 346,468,873

Least Common Multiple of Numerators i.e. LCM of 346,468,873 is 7853508.

GCF of Denominators means GCF of 502,554,960 as per the given fractions.

GCF of 502,554,960 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 346,468,873

LCM of Fractions 346/502,468/554,873/960 is 3926754

2 346, 468, 873
3 173, 234, 873
3 173, 78, 291
173, 26, 97

∴ So the LCM of the given numbers is 2 x 3 x 3 x 173 x 26 x 97 = 7853508

Least Common Multiple of 346,468,873 with GCF Formula

Least Common Multiple of 346,468,873 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 346,468,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(346,468,873) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(346,468,873) x common factors =1 x 18 = 18

LCM(346,468,873) = ( 346 × 468 × 873 ) / 18

LCM(346,468,873) = 141363144 / 18

LCM(346,468,873) = 7853508


Lets's calculate GCF of 502,554,960

2 502, 554, 960
251, 277, 480

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7853508/2

Therefore the LCM of Fractions 346/502,468/554,873/960 is 3926754

Greatest Common Factor of 502,554,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,554,960 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 502,554,960 . The biggest common factor number is the GCF number.
So the greatest common factor 502,554,960 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 346/502, 468/554, 873/960

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 346/502, 468/554, 873/960?

Answer: LCM of Numerators as per given numbers 346/502, 468/554, 873/960 is

LCM of Numerators i.e. for 346,468,873 is 7853508

GCF of denominators i.e. for 502,554,960 is 2.

Thus, LCM of Fractions is 3926754.Finally, LCM of Fractions for 346/502, 468/554, 873/960 is 3926754.