Least Common Multiple of 719/96, 261/68, 364/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 719/96, 261/68, 364/152 quickly i.e. 17076969 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 719/96, 261/68, 364/152 is 17076969.

LCM(719/96, 261/68, 364/152) = 17076969

LCM of 719/96, 261/68, 364/152

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 719/96,261/68,364/152

Given numbers are 719/96,261/68,364/152

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 719,261,364

Least Common Multiple of Numerators i.e. LCM of 719,261,364 is 68307876.

GCF of Denominators means GCF of 96,68,152 as per the given fractions.

GCF of 96,68,152 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 719,261,364

LCM of Fractions 719/96,261/68,364/152 is 17076969

Given numbers has no common factors except 1. So, there LCM is their product i.e 68307876

Least Common Multiple of 719,261,364 with GCF Formula

Least Common Multiple of 719,261,364 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 719,261,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(719,261,364) = 1

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

GCF(719,261,364) x common factors =1 x 1 = 1

LCM(719,261,364) = ( 719 × 261 × 364 ) / 1

LCM(719,261,364) = 68307876 / 1

LCM(719,261,364) = 68307876


Lets's calculate GCF of 96,68,152

2 96, 68, 152
2 48, 34, 76
24, 17, 38

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68307876/4

Therefore the LCM of Fractions 719/96,261/68,364/152 is 17076969

Greatest Common Factor of 96,68,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,68,152 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 96,68,152 . The biggest common factor number is the GCF number.
So the greatest common factor 96,68,152 is 4.


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 719/96, 261/68, 364/152

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 719/96, 261/68, 364/152?

Answer: LCM of Numerators as per given numbers 719/96, 261/68, 364/152 is

LCM of Numerators i.e. for 719,261,364 is 68307876

GCF of denominators i.e. for 96,68,152 is 4.

Thus, LCM of Fractions is 17076969.Finally, LCM of Fractions for 719/96, 261/68, 364/152 is 17076969.