Least Common Multiple of 330/994, 242/876, 536/947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 330/994, 242/876, 536/947 quickly i.e. 972840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 330/994, 242/876, 536/947 is 972840.

LCM(330/994, 242/876, 536/947) = 972840

LCM of 330/994, 242/876, 536/947

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 330/994,242/876,536/947

Given numbers are 330/994,242/876,536/947

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 330,242,536

Least Common Multiple of Numerators i.e. LCM of 330,242,536 is 972840.

GCF of Denominators means GCF of 994,876,947 as per the given fractions.

GCF of 994,876,947 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 330,242,536

LCM of Fractions 330/994,242/876,536/947 is 972840

2 330, 242, 536
11 165, 121, 268
15, 11, 268

∴ So the LCM of the given numbers is 2 x 11 x 15 x 11 x 268 = 972840

Least Common Multiple of 330,242,536 with GCF Formula

Least Common Multiple of 330,242,536 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 330,242,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,242,536) = 2

common factors(in case of two or more numbers have common factors) = 22

GCF(330,242,536) x common factors =2 x 22 = 44

LCM(330,242,536) = ( 330 × 242 × 536 ) / 44

LCM(330,242,536) = 42804960 / 44

LCM(330,242,536) = 972840


Lets's calculate GCF of 994,876,947

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 972840/1

Therefore the LCM of Fractions 330/994,242/876,536/947 is 972840

Greatest Common Factor of 994,876,947 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,876,947 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Greatest Common Factor

We found the factors 994,876,947 . The biggest common factor number is the GCF number.
So the greatest common factor 994,876,947 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 330/994, 242/876, 536/947

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 330/994, 242/876, 536/947?

Answer: LCM of Numerators as per given numbers 330/994, 242/876, 536/947 is

LCM of Numerators i.e. for 330,242,536 is 972840

GCF of denominators i.e. for 994,876,947 is 1.

Thus, LCM of Fractions is 972840.Finally, LCM of Fractions for 330/994, 242/876, 536/947 is 972840.