Least Common Multiple of 51/358, 29/324, 730/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/358, 29/324, 730/232 quickly i.e. 539835 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/358, 29/324, 730/232 is 539835.

LCM(51/358, 29/324, 730/232) = 539835

LCM of 51/358, 29/324, 730/232

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 51/358,29/324,730/232

Given numbers are 51/358,29/324,730/232

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 51,29,730

Least Common Multiple of Numerators i.e. LCM of 51,29,730 is 1079670.

GCF of Denominators means GCF of 358,324,232 as per the given fractions.

GCF of 358,324,232 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,29,730

LCM of Fractions 51/358,29/324,730/232 is 539835

Given numbers has no common factors except 1. So, there LCM is their product i.e 1079670

Least Common Multiple of 51,29,730 with GCF Formula

Least Common Multiple of 51,29,730 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 51,29,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,29,730) = 1

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

GCF(51,29,730) x common factors =1 x 1 = 1

LCM(51,29,730) = ( 51 × 29 × 730 ) / 1

LCM(51,29,730) = 1079670 / 1

LCM(51,29,730) = 1079670


Lets's calculate GCF of 358,324,232

2 358, 324, 232
179, 162, 116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1079670/2

Therefore the LCM of Fractions 51/358,29/324,730/232 is 539835

Greatest Common Factor of 358,324,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 358,324,232 By Matching Biggest Common Factor Method

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 358,324,232 . The biggest common factor number is the GCF number.
So the greatest common factor 358,324,232 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 51/358, 29/324, 730/232

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 51/358, 29/324, 730/232?

Answer: LCM of Numerators as per given numbers 51/358, 29/324, 730/232 is

LCM of Numerators i.e. for 51,29,730 is 1079670

GCF of denominators i.e. for 358,324,232 is 2.

Thus, LCM of Fractions is 539835.Finally, LCM of Fractions for 51/358, 29/324, 730/232 is 539835.