Least Common Multiple of 667/438, 810/504, 704/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 667/438, 810/504, 704/230 quickly i.e. 95087520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 667/438, 810/504, 704/230 is 95087520.

LCM(667/438, 810/504, 704/230) = 95087520

LCM of 667/438, 810/504, 704/230

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 667/438,810/504,704/230

Given numbers are 667/438,810/504,704/230

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 667,810,704

Least Common Multiple of Numerators i.e. LCM of 667,810,704 is 190175040.

GCF of Denominators means GCF of 438,504,230 as per the given fractions.

GCF of 438,504,230 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 667,810,704

LCM of Fractions 667/438,810/504,704/230 is 95087520

2 667, 810, 704
667, 405, 352

∴ So the LCM of the given numbers is 2 x 667 x 405 x 352 = 190175040

Least Common Multiple of 667,810,704 with GCF Formula

Least Common Multiple of 667,810,704 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 667,810,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,810,704) = 1

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

GCF(667,810,704) x common factors =1 x 2 = 2

LCM(667,810,704) = ( 667 × 810 × 704 ) / 2

LCM(667,810,704) = 380350080 / 2

LCM(667,810,704) = 190175040


Lets's calculate GCF of 438,504,230

2 438, 504, 230
219, 252, 115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190175040/2

Therefore the LCM of Fractions 667/438,810/504,704/230 is 95087520

Greatest Common Factor of 438,504,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,504,230 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 438,504,230 . The biggest common factor number is the GCF number.
So the greatest common factor 438,504,230 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 667/438, 810/504, 704/230

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 667/438, 810/504, 704/230?

Answer: LCM of Numerators as per given numbers 667/438, 810/504, 704/230 is

LCM of Numerators i.e. for 667,810,704 is 190175040

GCF of denominators i.e. for 438,504,230 is 2.

Thus, LCM of Fractions is 95087520.Finally, LCM of Fractions for 667/438, 810/504, 704/230 is 95087520.