Least Common Multiple of 8312/988, 1706/4484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8312/988, 1706/4484 quickly i.e. 7090136/76 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8312/988, 1706/4484 is 7090136/76.

LCM(8312/988, 1706/4484) = 7090136/76

LCM of 8312/988, 1706/4484

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 8312/988,1706/4484

Given numbers are 8312/988,1706/4484

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 8312,1706

Least Common Multiple of Numerators i.e. LCM of 8312,1706 is 7090136.

GCF of Denominators means GCF of 988,4484 as per the given fractions.

GCF of 988,4484 is 76 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8312,1706

LCM of Fractions 8312/988,1706/4484 is 7090136/76

2 8312, 1706
4156, 853

∴ So the LCM of the given numbers is 2 x 4156 x 853 = 7090136

Least Common Multiple of 8312,1706 with GCF Formula

Least Common Multiple of 8312,1706 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 8312,1706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8312,1706) = 2

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

GCF(8312,1706) x common factors =2 x 1 = 2

LCM(8312,1706) = ( 8312 × 1706 ) / 2

LCM(8312,1706) = 14180272 / 2

LCM(8312,1706) = 7090136


Lets's calculate GCF of 988,4484

2 988, 4484
2 494, 2242
19 247, 1121
13, 59

∴ So the GCF of the given numbers is 2 x 2 x 19 = 76

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7090136/76

Therefore the LCM of Fractions 8312/988,1706/4484 is 7090136/76

Greatest Common Factor of 988,4484 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,4484 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 4484

List of positive integer factors of 4484 that divides 4484 without a remainder.

1,2,4,19,38,59,76,118,236,1121,2242,4484

Greatest Common Factor

We found the factors 988,4484 . The biggest common factor number is the GCF number.
So the greatest common factor 988,4484 is 76.


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 8312/988, 1706/4484

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 8312/988, 1706/4484?

Answer: LCM of Numerators as per given numbers 8312/988, 1706/4484 is

LCM of Numerators i.e. for 8312,1706 is 7090136

GCF of denominators i.e. for 988,4484 is 76.

Thus, LCM of Fractions is 7090136/76.Finally, LCM of Fractions for 8312/988, 1706/4484 is 7090136/76.