Least Common Multiple of 982/558, 1077/7228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 982/558, 1077/7228 quickly i.e. 528807 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 982/558, 1077/7228 is 528807.

LCM(982/558, 1077/7228) = 528807

LCM of 982/558, 1077/7228

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 982/558,1077/7228

Given numbers are 982/558,1077/7228

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 982,1077

Least Common Multiple of Numerators i.e. LCM of 982,1077 is 1057614.

GCF of Denominators means GCF of 558,7228 as per the given fractions.

GCF of 558,7228 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 982,1077

LCM of Fractions 982/558,1077/7228 is 528807

Given numbers has no common factors except 1. So, there LCM is their product i.e 1057614

Least Common Multiple of 982,1077 with GCF Formula

Least Common Multiple of 982,1077 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 982,1077 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,1077) = 1

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

GCF(982,1077) x common factors =1 x 1 = 1

LCM(982,1077) = ( 982 × 1077 ) / 1

LCM(982,1077) = 1057614 / 1

LCM(982,1077) = 1057614


Lets's calculate GCF of 558,7228

2 558, 7228
279, 3614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1057614/2

Therefore the LCM of Fractions 982/558,1077/7228 is 528807

Greatest Common Factor of 558,7228 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,7228 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 7228

List of positive integer factors of 7228 that divides 7228 without a remainder.

1,2,4,13,26,52,139,278,556,1807,3614,7228

Greatest Common Factor

We found the factors 558,7228 . The biggest common factor number is the GCF number.
So the greatest common factor 558,7228 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 982/558, 1077/7228

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 982/558, 1077/7228?

Answer: LCM of Numerators as per given numbers 982/558, 1077/7228 is

LCM of Numerators i.e. for 982,1077 is 1057614

GCF of denominators i.e. for 558,7228 is 2.

Thus, LCM of Fractions is 528807.Finally, LCM of Fractions for 982/558, 1077/7228 is 528807.