Least Common Multiple of 478/18, 664/94, 704/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 478/18, 664/94, 704/972 quickly i.e. 6982624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 478/18, 664/94, 704/972 is 6982624.

LCM(478/18, 664/94, 704/972) = 6982624

LCM of 478/18, 664/94, 704/972

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 478/18,664/94,704/972

Given numbers are 478/18,664/94,704/972

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 478,664,704

Least Common Multiple of Numerators i.e. LCM of 478,664,704 is 13965248.

GCF of Denominators means GCF of 18,94,972 as per the given fractions.

GCF of 18,94,972 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 478,664,704

LCM of Fractions 478/18,664/94,704/972 is 6982624

2 478, 664, 704
2 239, 332, 352
2 239, 166, 176
239, 83, 88

∴ So the LCM of the given numbers is 2 x 2 x 2 x 239 x 83 x 88 = 13965248

Least Common Multiple of 478,664,704 with GCF Formula

Least Common Multiple of 478,664,704 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 478,664,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,664,704) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(478,664,704) x common factors =2 x 8 = 16

LCM(478,664,704) = ( 478 × 664 × 704 ) / 16

LCM(478,664,704) = 223443968 / 16

LCM(478,664,704) = 13965248


Lets's calculate GCF of 18,94,972

2 18, 94, 972
9, 47, 486

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13965248/2

Therefore the LCM of Fractions 478/18,664/94,704/972 is 6982624

Greatest Common Factor of 18,94,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,94,972 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 18,94,972 . The biggest common factor number is the GCF number.
So the greatest common factor 18,94,972 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 478/18, 664/94, 704/972

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 478/18, 664/94, 704/972?

Answer: LCM of Numerators as per given numbers 478/18, 664/94, 704/972 is

LCM of Numerators i.e. for 478,664,704 is 13965248

GCF of denominators i.e. for 18,94,972 is 2.

Thus, LCM of Fractions is 6982624.Finally, LCM of Fractions for 478/18, 664/94, 704/972 is 6982624.