Least Common Multiple of 234/672, 757/554, 438/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 234/672, 757/554, 438/423 quickly i.e. 12931074 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/672, 757/554, 438/423 is 12931074.

LCM(234/672, 757/554, 438/423) = 12931074

LCM of 234/672, 757/554, 438/423

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 234/672,757/554,438/423

Given numbers are 234/672,757/554,438/423

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 234,757,438

Least Common Multiple of Numerators i.e. LCM of 234,757,438 is 12931074.

GCF of Denominators means GCF of 672,554,423 as per the given fractions.

GCF of 672,554,423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,757,438

LCM of Fractions 234/672,757/554,438/423 is 12931074

2 234, 757, 438
3 117, 757, 219
39, 757, 73

∴ So the LCM of the given numbers is 2 x 3 x 39 x 757 x 73 = 12931074

Least Common Multiple of 234,757,438 with GCF Formula

Least Common Multiple of 234,757,438 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 234,757,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,757,438) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(234,757,438) x common factors =1 x 6 = 6

LCM(234,757,438) = ( 234 × 757 × 438 ) / 6

LCM(234,757,438) = 77586444 / 6

LCM(234,757,438) = 12931074


Lets's calculate GCF of 672,554,423

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12931074/1

Therefore the LCM of Fractions 234/672,757/554,438/423 is 12931074

Greatest Common Factor of 672,554,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,554,423 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 554

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

1,2,277,554

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 672,554,423 . The biggest common factor number is the GCF number.
So the greatest common factor 672,554,423 is 1.


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 234/672, 757/554, 438/423

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 234/672, 757/554, 438/423?

Answer: LCM of Numerators as per given numbers 234/672, 757/554, 438/423 is

LCM of Numerators i.e. for 234,757,438 is 12931074

GCF of denominators i.e. for 672,554,423 is 1.

Thus, LCM of Fractions is 12931074.Finally, LCM of Fractions for 234/672, 757/554, 438/423 is 12931074.