Least Common Multiple of 306/368, 749/999, 232/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 306/368, 749/999, 232/141 quickly i.e. 26586504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 306/368, 749/999, 232/141 is 26586504.

LCM(306/368, 749/999, 232/141) = 26586504

LCM of 306/368, 749/999, 232/141

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 306/368,749/999,232/141

Given numbers are 306/368,749/999,232/141

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 306,749,232

Least Common Multiple of Numerators i.e. LCM of 306,749,232 is 26586504.

GCF of Denominators means GCF of 368,999,141 as per the given fractions.

GCF of 368,999,141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 306,749,232

LCM of Fractions 306/368,749/999,232/141 is 26586504

2 306, 749, 232
153, 749, 116

∴ So the LCM of the given numbers is 2 x 153 x 749 x 116 = 26586504

Least Common Multiple of 306,749,232 with GCF Formula

Least Common Multiple of 306,749,232 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 306,749,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,749,232) = 1

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

GCF(306,749,232) x common factors =1 x 2 = 2

LCM(306,749,232) = ( 306 × 749 × 232 ) / 2

LCM(306,749,232) = 53173008 / 2

LCM(306,749,232) = 26586504


Lets's calculate GCF of 368,999,141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26586504/1

Therefore the LCM of Fractions 306/368,749/999,232/141 is 26586504

Greatest Common Factor of 368,999,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,999,141 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 368,999,141 . The biggest common factor number is the GCF number.
So the greatest common factor 368,999,141 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 306/368, 749/999, 232/141

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 306/368, 749/999, 232/141?

Answer: LCM of Numerators as per given numbers 306/368, 749/999, 232/141 is

LCM of Numerators i.e. for 306,749,232 is 26586504

GCF of denominators i.e. for 368,999,141 is 1.

Thus, LCM of Fractions is 26586504.Finally, LCM of Fractions for 306/368, 749/999, 232/141 is 26586504.