Least Common Multiple of 309/384, 889/310, 376/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/384, 889/310, 376/764 quickly i.e. 51643788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/384, 889/310, 376/764 is 51643788.

LCM(309/384, 889/310, 376/764) = 51643788

LCM of 309/384, 889/310, 376/764

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 309/384,889/310,376/764

Given numbers are 309/384,889/310,376/764

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 309,889,376

Least Common Multiple of Numerators i.e. LCM of 309,889,376 is 103287576.

GCF of Denominators means GCF of 384,310,764 as per the given fractions.

GCF of 384,310,764 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,889,376

LCM of Fractions 309/384,889/310,376/764 is 51643788

Given numbers has no common factors except 1. So, there LCM is their product i.e 103287576

Least Common Multiple of 309,889,376 with GCF Formula

Least Common Multiple of 309,889,376 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 309,889,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,889,376) = 1

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

GCF(309,889,376) x common factors =1 x 1 = 1

LCM(309,889,376) = ( 309 × 889 × 376 ) / 1

LCM(309,889,376) = 103287576 / 1

LCM(309,889,376) = 103287576


Lets's calculate GCF of 384,310,764

2 384, 310, 764
192, 155, 382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103287576/2

Therefore the LCM of Fractions 309/384,889/310,376/764 is 51643788

Greatest Common Factor of 384,310,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,310,764 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 384,310,764 . The biggest common factor number is the GCF number.
So the greatest common factor 384,310,764 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 309/384, 889/310, 376/764

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 309/384, 889/310, 376/764?

Answer: LCM of Numerators as per given numbers 309/384, 889/310, 376/764 is

LCM of Numerators i.e. for 309,889,376 is 103287576

GCF of denominators i.e. for 384,310,764 is 2.

Thus, LCM of Fractions is 51643788.Finally, LCM of Fractions for 309/384, 889/310, 376/764 is 51643788.