Least Common Multiple of 738/495, 504/729, 680/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 738/495, 504/729, 680/531 quickly i.e. 195160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 738/495, 504/729, 680/531 is 195160.

LCM(738/495, 504/729, 680/531) = 195160

LCM of 738/495, 504/729, 680/531

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 738/495,504/729,680/531

Given numbers are 738/495,504/729,680/531

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 738,504,680

Least Common Multiple of Numerators i.e. LCM of 738,504,680 is 1756440.

GCF of Denominators means GCF of 495,729,531 as per the given fractions.

GCF of 495,729,531 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 738,504,680

LCM of Fractions 738/495,504/729,680/531 is 195160

2 738, 504, 680
2 369, 252, 340
2 369, 126, 170
3 369, 63, 85
3 123, 21, 85
41, 7, 85

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 41 x 7 x 85 = 1756440

Least Common Multiple of 738,504,680 with GCF Formula

Least Common Multiple of 738,504,680 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 738,504,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,504,680) = 2

common factors(in case of two or more numbers have common factors) = 72

GCF(738,504,680) x common factors =2 x 72 = 144

LCM(738,504,680) = ( 738 × 504 × 680 ) / 144

LCM(738,504,680) = 252927360 / 144

LCM(738,504,680) = 1756440


Lets's calculate GCF of 495,729,531

3 495, 729, 531
3 165, 243, 177
55, 81, 59

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1756440/9

Therefore the LCM of Fractions 738/495,504/729,680/531 is 195160

Greatest Common Factor of 495,729,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,729,531 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 495,729,531 . The biggest common factor number is the GCF number.
So the greatest common factor 495,729,531 is 9.


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 738/495, 504/729, 680/531

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 738/495, 504/729, 680/531?

Answer: LCM of Numerators as per given numbers 738/495, 504/729, 680/531 is

LCM of Numerators i.e. for 738,504,680 is 1756440

GCF of denominators i.e. for 495,729,531 is 9.

Thus, LCM of Fractions is 195160.Finally, LCM of Fractions for 738/495, 504/729, 680/531 is 195160.