Least Common Multiple of 95/596, 11/193, 583/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 95/596, 11/193, 583/114 quickly i.e. 55385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/596, 11/193, 583/114 is 55385.

LCM(95/596, 11/193, 583/114) = 55385

LCM of 95/596, 11/193, 583/114

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 95/596,11/193,583/114

Given numbers are 95/596,11/193,583/114

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 95,11,583

Least Common Multiple of Numerators i.e. LCM of 95,11,583 is 55385.

GCF of Denominators means GCF of 596,193,114 as per the given fractions.

GCF of 596,193,114 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,11,583

LCM of Fractions 95/596,11/193,583/114 is 55385

11 95, 11, 583
95, 1, 53

∴ So the LCM of the given numbers is 11 x 95 x 1 x 53 = 55385

Least Common Multiple of 95,11,583 with GCF Formula

Least Common Multiple of 95,11,583 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 95,11,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,11,583) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(95,11,583) x common factors =1 x 11 = 11

LCM(95,11,583) = ( 95 × 11 × 583 ) / 11

LCM(95,11,583) = 609235 / 11

LCM(95,11,583) = 55385


Lets's calculate GCF of 596,193,114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55385/1

Therefore the LCM of Fractions 95/596,11/193,583/114 is 55385

Greatest Common Factor of 596,193,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,193,114 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 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 596,193,114 . The biggest common factor number is the GCF number.
So the greatest common factor 596,193,114 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 95/596, 11/193, 583/114

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 95/596, 11/193, 583/114?

Answer: LCM of Numerators as per given numbers 95/596, 11/193, 583/114 is

LCM of Numerators i.e. for 95,11,583 is 55385

GCF of denominators i.e. for 596,193,114 is 1.

Thus, LCM of Fractions is 55385.Finally, LCM of Fractions for 95/596, 11/193, 583/114 is 55385.