Least Common Multiple of 8380/482, 6719/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8380/482, 6719/969 quickly i.e. 56305220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8380/482, 6719/969 is 56305220.

LCM(8380/482, 6719/969) = 56305220

LCM of 8380/482, 6719/969

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 8380/482,6719/969

Given numbers are 8380/482,6719/969

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 8380,6719

Least Common Multiple of Numerators i.e. LCM of 8380,6719 is 56305220.

GCF of Denominators means GCF of 482,969 as per the given fractions.

GCF of 482,969 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8380,6719

LCM of Fractions 8380/482,6719/969 is 56305220

Given numbers has no common factors except 1. So, there LCM is their product i.e 56305220

Least Common Multiple of 8380,6719 with GCF Formula

Least Common Multiple of 8380,6719 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 8380,6719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8380,6719) = 1

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

GCF(8380,6719) x common factors =1 x 1 = 1

LCM(8380,6719) = ( 8380 × 6719 ) / 1

LCM(8380,6719) = 56305220 / 1

LCM(8380,6719) = 56305220


Lets's calculate GCF of 482,969

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56305220/1

Therefore the LCM of Fractions 8380/482,6719/969 is 56305220

Greatest Common Factor of 482,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,969 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 482,969 . The biggest common factor number is the GCF number.
So the greatest common factor 482,969 is 1.


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 8380/482, 6719/969

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 8380/482, 6719/969?

Answer: LCM of Numerators as per given numbers 8380/482, 6719/969 is

LCM of Numerators i.e. for 8380,6719 is 56305220

GCF of denominators i.e. for 482,969 is 1.

Thus, LCM of Fractions is 56305220.Finally, LCM of Fractions for 8380/482, 6719/969 is 56305220.