Least Common Multiple of 55/58, 68/79, 569/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/58, 68/79, 569/356 quickly i.e. 2128060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/58, 68/79, 569/356 is 2128060.

LCM(55/58, 68/79, 569/356) = 2128060

LCM of 55/58, 68/79, 569/356

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 55/58,68/79,569/356

Given numbers are 55/58,68/79,569/356

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 55,68,569

Least Common Multiple of Numerators i.e. LCM of 55,68,569 is 2128060.

GCF of Denominators means GCF of 58,79,356 as per the given fractions.

GCF of 58,79,356 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,68,569

LCM of Fractions 55/58,68/79,569/356 is 2128060

Given numbers has no common factors except 1. So, there LCM is their product i.e 2128060

Least Common Multiple of 55,68,569 with GCF Formula

Least Common Multiple of 55,68,569 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 55,68,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,68,569) = 1

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

GCF(55,68,569) x common factors =1 x 1 = 1

LCM(55,68,569) = ( 55 × 68 × 569 ) / 1

LCM(55,68,569) = 2128060 / 1

LCM(55,68,569) = 2128060


Lets's calculate GCF of 58,79,356

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2128060/1

Therefore the LCM of Fractions 55/58,68/79,569/356 is 2128060

Greatest Common Factor of 58,79,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,79,356 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Greatest Common Factor

We found the factors 58,79,356 . The biggest common factor number is the GCF number.
So the greatest common factor 58,79,356 is 1.


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 55/58, 68/79, 569/356

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 55/58, 68/79, 569/356?

Answer: LCM of Numerators as per given numbers 55/58, 68/79, 569/356 is

LCM of Numerators i.e. for 55,68,569 is 2128060

GCF of denominators i.e. for 58,79,356 is 1.

Thus, LCM of Fractions is 2128060.Finally, LCM of Fractions for 55/58, 68/79, 569/356 is 2128060.