Least Common Multiple of 486/552, 904/958, 110/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 486/552, 904/958, 110/904 quickly i.e. 6040980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 486/552, 904/958, 110/904 is 6040980.

LCM(486/552, 904/958, 110/904) = 6040980

LCM of 486/552, 904/958, 110/904

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 486/552,904/958,110/904

Given numbers are 486/552,904/958,110/904

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 486,904,110

Least Common Multiple of Numerators i.e. LCM of 486,904,110 is 12081960.

GCF of Denominators means GCF of 552,958,904 as per the given fractions.

GCF of 552,958,904 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 486,904,110

LCM of Fractions 486/552,904/958,110/904 is 6040980

2 486, 904, 110
243, 452, 55

∴ So the LCM of the given numbers is 2 x 243 x 452 x 55 = 12081960

Least Common Multiple of 486,904,110 with GCF Formula

Least Common Multiple of 486,904,110 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 486,904,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,904,110) = 2

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

GCF(486,904,110) x common factors =2 x 2 = 4

LCM(486,904,110) = ( 486 × 904 × 110 ) / 4

LCM(486,904,110) = 48327840 / 4

LCM(486,904,110) = 12081960


Lets's calculate GCF of 552,958,904

2 552, 958, 904
276, 479, 452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12081960/2

Therefore the LCM of Fractions 486/552,904/958,110/904 is 6040980

Greatest Common Factor of 552,958,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,958,904 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 552,958,904 . The biggest common factor number is the GCF number.
So the greatest common factor 552,958,904 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 486/552, 904/958, 110/904

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 486/552, 904/958, 110/904?

Answer: LCM of Numerators as per given numbers 486/552, 904/958, 110/904 is

LCM of Numerators i.e. for 486,904,110 is 12081960

GCF of denominators i.e. for 552,958,904 is 2.

Thus, LCM of Fractions is 6040980.Finally, LCM of Fractions for 486/552, 904/958, 110/904 is 6040980.