Least Common Multiple of 714/72, 737/40, 754/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 714/72, 737/40, 754/495 quickly i.e. 198384186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 714/72, 737/40, 754/495 is 198384186.

LCM(714/72, 737/40, 754/495) = 198384186

LCM of 714/72, 737/40, 754/495

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 714/72,737/40,754/495

Given numbers are 714/72,737/40,754/495

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 714,737,754

Least Common Multiple of Numerators i.e. LCM of 714,737,754 is 198384186.

GCF of Denominators means GCF of 72,40,495 as per the given fractions.

GCF of 72,40,495 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 714,737,754

LCM of Fractions 714/72,737/40,754/495 is 198384186

2 714, 737, 754
357, 737, 377

∴ So the LCM of the given numbers is 2 x 357 x 737 x 377 = 198384186

Least Common Multiple of 714,737,754 with GCF Formula

Least Common Multiple of 714,737,754 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 714,737,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,737,754) = 1

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

GCF(714,737,754) x common factors =1 x 2 = 2

LCM(714,737,754) = ( 714 × 737 × 754 ) / 2

LCM(714,737,754) = 396768372 / 2

LCM(714,737,754) = 198384186


Lets's calculate GCF of 72,40,495

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198384186/1

Therefore the LCM of Fractions 714/72,737/40,754/495 is 198384186

Greatest Common Factor of 72,40,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,40,495 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

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

Greatest Common Factor

We found the factors 72,40,495 . The biggest common factor number is the GCF number.
So the greatest common factor 72,40,495 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 714/72, 737/40, 754/495

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 714/72, 737/40, 754/495?

Answer: LCM of Numerators as per given numbers 714/72, 737/40, 754/495 is

LCM of Numerators i.e. for 714,737,754 is 198384186

GCF of denominators i.e. for 72,40,495 is 1.

Thus, LCM of Fractions is 198384186.Finally, LCM of Fractions for 714/72, 737/40, 754/495 is 198384186.