Least Common Multiple of 349/531, 9855/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 349/531, 9855/592 quickly i.e. 3439395 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 349/531, 9855/592 is 3439395.

LCM(349/531, 9855/592) = 3439395

LCM of 349/531, 9855/592

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 349/531,9855/592

Given numbers are 349/531,9855/592

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 349,9855

Least Common Multiple of Numerators i.e. LCM of 349,9855 is 3439395.

GCF of Denominators means GCF of 531,592 as per the given fractions.

GCF of 531,592 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 349,9855

LCM of Fractions 349/531,9855/592 is 3439395

Given numbers has no common factors except 1. So, there LCM is their product i.e 3439395

Least Common Multiple of 349,9855 with GCF Formula

Least Common Multiple of 349,9855 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 349,9855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,9855) = 1

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

GCF(349,9855) x common factors =1 x 1 = 1

LCM(349,9855) = ( 349 × 9855 ) / 1

LCM(349,9855) = 3439395 / 1

LCM(349,9855) = 3439395


Lets's calculate GCF of 531,592

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3439395/1

Therefore the LCM of Fractions 349/531,9855/592 is 3439395

Greatest Common Factor of 531,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,592 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 531,592 . The biggest common factor number is the GCF number.
So the greatest common factor 531,592 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 349/531, 9855/592

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 349/531, 9855/592?

Answer: LCM of Numerators as per given numbers 349/531, 9855/592 is

LCM of Numerators i.e. for 349,9855 is 3439395

GCF of denominators i.e. for 531,592 is 1.

Thus, LCM of Fractions is 3439395.Finally, LCM of Fractions for 349/531, 9855/592 is 3439395.