Least Common Multiple of 55/962, 144/342, 392/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/962, 144/342, 392/589 quickly i.e. 388080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/962, 144/342, 392/589 is 388080.

LCM(55/962, 144/342, 392/589) = 388080

LCM of 55/962, 144/342, 392/589

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 55/962,144/342,392/589

Given numbers are 55/962,144/342,392/589

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 55,144,392

Least Common Multiple of Numerators i.e. LCM of 55,144,392 is 388080.

GCF of Denominators means GCF of 962,342,589 as per the given fractions.

GCF of 962,342,589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,144,392

LCM of Fractions 55/962,144/342,392/589 is 388080

2 55, 144, 392
2 55, 72, 196
2 55, 36, 98
55, 18, 49

∴ So the LCM of the given numbers is 2 x 2 x 2 x 55 x 18 x 49 = 388080

Least Common Multiple of 55,144,392 with GCF Formula

Least Common Multiple of 55,144,392 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 55,144,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,144,392) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(55,144,392) x common factors =1 x 8 = 8

LCM(55,144,392) = ( 55 × 144 × 392 ) / 8

LCM(55,144,392) = 3104640 / 8

LCM(55,144,392) = 388080


Lets's calculate GCF of 962,342,589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 388080/1

Therefore the LCM of Fractions 55/962,144/342,392/589 is 388080

Greatest Common Factor of 962,342,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,342,589 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 962,342,589 . The biggest common factor number is the GCF number.
So the greatest common factor 962,342,589 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 55/962, 144/342, 392/589

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 55/962, 144/342, 392/589?

Answer: LCM of Numerators as per given numbers 55/962, 144/342, 392/589 is

LCM of Numerators i.e. for 55,144,392 is 388080

GCF of denominators i.e. for 962,342,589 is 1.

Thus, LCM of Fractions is 388080.Finally, LCM of Fractions for 55/962, 144/342, 392/589 is 388080.