Least Common Multiple of 55/596, 84/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/596, 84/290 quickly i.e. 2310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/596, 84/290 is 2310.

LCM(55/596, 84/290) = 2310

LCM of 55/596, 84/290

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 55/596,84/290

Given numbers are 55/596,84/290

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 55,84

Least Common Multiple of Numerators i.e. LCM of 55,84 is 4620.

GCF of Denominators means GCF of 596,290 as per the given fractions.

GCF of 596,290 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,84

LCM of Fractions 55/596,84/290 is 2310

Given numbers has no common factors except 1. So, there LCM is their product i.e 4620

Least Common Multiple of 55,84 with GCF Formula

Least Common Multiple of 55,84 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 55,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,84) = 1

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

GCF(55,84) x common factors =1 x 1 = 1

LCM(55,84) = ( 55 × 84 ) / 1

LCM(55,84) = 4620 / 1

LCM(55,84) = 4620


Lets's calculate GCF of 596,290

2 596, 290
298, 145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4620/2

Therefore the LCM of Fractions 55/596,84/290 is 2310

Greatest Common Factor of 596,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,290 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 596,290 . The biggest common factor number is the GCF number.
So the greatest common factor 596,290 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/596, 84/290

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 55/596, 84/290?

Answer: LCM of Numerators as per given numbers 55/596, 84/290 is

LCM of Numerators i.e. for 55,84 is 4620

GCF of denominators i.e. for 596,290 is 2.

Thus, LCM of Fractions is 2310.Finally, LCM of Fractions for 55/596, 84/290 is 2310.