Least Common Multiple of 992/530, 8371/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 992/530, 8371/930 quickly i.e. 8304032/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 992/530, 8371/930 is 8304032/10.

LCM(992/530, 8371/930) = 8304032/10

LCM of 992/530, 8371/930

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 992/530,8371/930

Given numbers are 992/530,8371/930

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 992,8371

Least Common Multiple of Numerators i.e. LCM of 992,8371 is 8304032.

GCF of Denominators means GCF of 530,930 as per the given fractions.

GCF of 530,930 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 992,8371

LCM of Fractions 992/530,8371/930 is 8304032/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 8304032

Least Common Multiple of 992,8371 with GCF Formula

Least Common Multiple of 992,8371 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 992,8371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,8371) = 1

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

GCF(992,8371) x common factors =1 x 1 = 1

LCM(992,8371) = ( 992 × 8371 ) / 1

LCM(992,8371) = 8304032 / 1

LCM(992,8371) = 8304032


Lets's calculate GCF of 530,930

2 530, 930
5 265, 465
53, 93

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8304032/10

Therefore the LCM of Fractions 992/530,8371/930 is 8304032/10

Greatest Common Factor of 530,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,930 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 530,930 . The biggest common factor number is the GCF number.
So the greatest common factor 530,930 is 10.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 992/530, 8371/930

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 992/530, 8371/930?

Answer: LCM of Numerators as per given numbers 992/530, 8371/930 is

LCM of Numerators i.e. for 992,8371 is 8304032

GCF of denominators i.e. for 530,930 is 10.

Thus, LCM of Fractions is 8304032/10.Finally, LCM of Fractions for 992/530, 8371/930 is 8304032/10.