Least Common Multiple of 886/30, 293/96, 364/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 886/30, 293/96, 364/734 quickly i.e. 23623418 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 886/30, 293/96, 364/734 is 23623418.

LCM(886/30, 293/96, 364/734) = 23623418

LCM of 886/30, 293/96, 364/734

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 886/30,293/96,364/734

Given numbers are 886/30,293/96,364/734

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 886,293,364

Least Common Multiple of Numerators i.e. LCM of 886,293,364 is 47246836.

GCF of Denominators means GCF of 30,96,734 as per the given fractions.

GCF of 30,96,734 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 886,293,364

LCM of Fractions 886/30,293/96,364/734 is 23623418

2 886, 293, 364
443, 293, 182

∴ So the LCM of the given numbers is 2 x 443 x 293 x 182 = 47246836

Least Common Multiple of 886,293,364 with GCF Formula

Least Common Multiple of 886,293,364 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 886,293,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(886,293,364) = 1

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

GCF(886,293,364) x common factors =1 x 2 = 2

LCM(886,293,364) = ( 886 × 293 × 364 ) / 2

LCM(886,293,364) = 94493672 / 2

LCM(886,293,364) = 47246836


Lets's calculate GCF of 30,96,734

2 30, 96, 734
15, 48, 367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47246836/2

Therefore the LCM of Fractions 886/30,293/96,364/734 is 23623418

Greatest Common Factor of 30,96,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,96,734 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

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 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 30,96,734 . The biggest common factor number is the GCF number.
So the greatest common factor 30,96,734 is 2.


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 886/30, 293/96, 364/734

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 886/30, 293/96, 364/734?

Answer: LCM of Numerators as per given numbers 886/30, 293/96, 364/734 is

LCM of Numerators i.e. for 886,293,364 is 47246836

GCF of denominators i.e. for 30,96,734 is 2.

Thus, LCM of Fractions is 23623418.Finally, LCM of Fractions for 886/30, 293/96, 364/734 is 23623418.