Least Common Multiple of 942/34, 684/60, 589/883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 942/34, 684/60, 589/883 quickly i.e. 3329028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 942/34, 684/60, 589/883 is 3329028.

LCM(942/34, 684/60, 589/883) = 3329028

LCM of 942/34, 684/60, 589/883

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 942/34,684/60,589/883

Given numbers are 942/34,684/60,589/883

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 942,684,589

Least Common Multiple of Numerators i.e. LCM of 942,684,589 is 3329028.

GCF of Denominators means GCF of 34,60,883 as per the given fractions.

GCF of 34,60,883 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 942,684,589

LCM of Fractions 942/34,684/60,589/883 is 3329028

2 942, 684, 589
3 471, 342, 589
19 157, 114, 589
157, 6, 31

∴ So the LCM of the given numbers is 2 x 3 x 19 x 157 x 6 x 31 = 3329028

Least Common Multiple of 942,684,589 with GCF Formula

Least Common Multiple of 942,684,589 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 942,684,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,684,589) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(942,684,589) x common factors =1 x 114 = 114

LCM(942,684,589) = ( 942 × 684 × 589 ) / 114

LCM(942,684,589) = 379509192 / 114

LCM(942,684,589) = 3329028


Lets's calculate GCF of 34,60,883

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3329028/1

Therefore the LCM of Fractions 942/34,684/60,589/883 is 3329028

Greatest Common Factor of 34,60,883 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,60,883 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Greatest Common Factor

We found the factors 34,60,883 . The biggest common factor number is the GCF number.
So the greatest common factor 34,60,883 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 942/34, 684/60, 589/883

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 942/34, 684/60, 589/883?

Answer: LCM of Numerators as per given numbers 942/34, 684/60, 589/883 is

LCM of Numerators i.e. for 942,684,589 is 3329028

GCF of denominators i.e. for 34,60,883 is 1.

Thus, LCM of Fractions is 3329028.Finally, LCM of Fractions for 942/34, 684/60, 589/883 is 3329028.