Least Common Multiple of 18/478, 121/964, 559/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/478, 121/964, 559/652 quickly i.e. 608751 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/478, 121/964, 559/652 is 608751.

LCM(18/478, 121/964, 559/652) = 608751

LCM of 18/478, 121/964, 559/652

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 18/478,121/964,559/652

Given numbers are 18/478,121/964,559/652

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 18,121,559

Least Common Multiple of Numerators i.e. LCM of 18,121,559 is 1217502.

GCF of Denominators means GCF of 478,964,652 as per the given fractions.

GCF of 478,964,652 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,121,559

LCM of Fractions 18/478,121/964,559/652 is 608751

Given numbers has no common factors except 1. So, there LCM is their product i.e 1217502

Least Common Multiple of 18,121,559 with GCF Formula

Least Common Multiple of 18,121,559 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 18,121,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,121,559) = 1

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

GCF(18,121,559) x common factors =1 x 1 = 1

LCM(18,121,559) = ( 18 × 121 × 559 ) / 1

LCM(18,121,559) = 1217502 / 1

LCM(18,121,559) = 1217502


Lets's calculate GCF of 478,964,652

2 478, 964, 652
239, 482, 326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1217502/2

Therefore the LCM of Fractions 18/478,121/964,559/652 is 608751

Greatest Common Factor of 478,964,652 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,964,652 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Greatest Common Factor

We found the factors 478,964,652 . The biggest common factor number is the GCF number.
So the greatest common factor 478,964,652 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 18/478, 121/964, 559/652

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 18/478, 121/964, 559/652?

Answer: LCM of Numerators as per given numbers 18/478, 121/964, 559/652 is

LCM of Numerators i.e. for 18,121,559 is 1217502

GCF of denominators i.e. for 478,964,652 is 2.

Thus, LCM of Fractions is 608751.Finally, LCM of Fractions for 18/478, 121/964, 559/652 is 608751.