Least Common Multiple of 774/72, 209/1496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 774/72, 209/1496 quickly i.e. 161766/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 774/72, 209/1496 is 161766/8.

LCM(774/72, 209/1496) = 161766/8

LCM of 774/72, 209/1496

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 774/72,209/1496

Given numbers are 774/72,209/1496

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 774,209

Least Common Multiple of Numerators i.e. LCM of 774,209 is 161766.

GCF of Denominators means GCF of 72,1496 as per the given fractions.

GCF of 72,1496 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 774,209

LCM of Fractions 774/72,209/1496 is 161766/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 161766

Least Common Multiple of 774,209 with GCF Formula

Least Common Multiple of 774,209 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 774,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,209) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(774,209) x common factors =1 x 1 = 1

LCM(774,209) = ( 774 × 209 ) / 1

LCM(774,209) = 161766 / 1

LCM(774,209) = 161766


Lets's calculate GCF of 72,1496

2 72, 1496
2 36, 748
2 18, 374
9, 187

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161766/8

Therefore the LCM of Fractions 774/72,209/1496 is 161766/8

Greatest Common Factor of 72,1496 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,1496 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 1496

List of positive integer factors of 1496 that divides 1496 without a remainder.

1,2,4,8,11,17,22,34,44,68,88,136,187,374,748,1496

Greatest Common Factor

We found the factors 72,1496 . The biggest common factor number is the GCF number.
So the greatest common factor 72,1496 is 8.


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 774/72, 209/1496

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 774/72, 209/1496?

Answer: LCM of Numerators as per given numbers 774/72, 209/1496 is

LCM of Numerators i.e. for 774,209 is 161766

GCF of denominators i.e. for 72,1496 is 8.

Thus, LCM of Fractions is 161766/8.Finally, LCM of Fractions for 774/72, 209/1496 is 161766/8.