Least Common Multiple of 96/57, 68/76, 185/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/57, 68/76, 185/830 quickly i.e. 301920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/57, 68/76, 185/830 is 301920.

LCM(96/57, 68/76, 185/830) = 301920

LCM of 96/57, 68/76, 185/830

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 96/57,68/76,185/830

Given numbers are 96/57,68/76,185/830

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 96,68,185

Least Common Multiple of Numerators i.e. LCM of 96,68,185 is 301920.

GCF of Denominators means GCF of 57,76,830 as per the given fractions.

GCF of 57,76,830 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,68,185

LCM of Fractions 96/57,68/76,185/830 is 301920

2 96, 68, 185
2 48, 34, 185
24, 17, 185

∴ So the LCM of the given numbers is 2 x 2 x 24 x 17 x 185 = 301920

Least Common Multiple of 96,68,185 with GCF Formula

Least Common Multiple of 96,68,185 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 96,68,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,68,185) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(96,68,185) x common factors =1 x 4 = 4

LCM(96,68,185) = ( 96 × 68 × 185 ) / 4

LCM(96,68,185) = 1207680 / 4

LCM(96,68,185) = 301920


Lets's calculate GCF of 57,76,830

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 301920/1

Therefore the LCM of Fractions 96/57,68/76,185/830 is 301920

Greatest Common Factor of 57,76,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,76,830 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 57,76,830 . The biggest common factor number is the GCF number.
So the greatest common factor 57,76,830 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 96/57, 68/76, 185/830

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 96/57, 68/76, 185/830?

Answer: LCM of Numerators as per given numbers 96/57, 68/76, 185/830 is

LCM of Numerators i.e. for 96,68,185 is 301920

GCF of denominators i.e. for 57,76,830 is 1.

Thus, LCM of Fractions is 301920.Finally, LCM of Fractions for 96/57, 68/76, 185/830 is 301920.