Least Common Multiple of 8430/994, 7219/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8430/994, 7219/844 quickly i.e. 30428085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8430/994, 7219/844 is 30428085.

LCM(8430/994, 7219/844) = 30428085

LCM of 8430/994, 7219/844

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 8430/994,7219/844

Given numbers are 8430/994,7219/844

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 8430,7219

Least Common Multiple of Numerators i.e. LCM of 8430,7219 is 60856170.

GCF of Denominators means GCF of 994,844 as per the given fractions.

GCF of 994,844 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8430,7219

LCM of Fractions 8430/994,7219/844 is 30428085

Given numbers has no common factors except 1. So, there LCM is their product i.e 60856170

Least Common Multiple of 8430,7219 with GCF Formula

Least Common Multiple of 8430,7219 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 8430,7219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8430,7219) = 1

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

GCF(8430,7219) x common factors =1 x 1 = 1

LCM(8430,7219) = ( 8430 × 7219 ) / 1

LCM(8430,7219) = 60856170 / 1

LCM(8430,7219) = 60856170


Lets's calculate GCF of 994,844

2 994, 844
497, 422

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60856170/2

Therefore the LCM of Fractions 8430/994,7219/844 is 30428085

Greatest Common Factor of 994,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,844 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 994,844 . The biggest common factor number is the GCF number.
So the greatest common factor 994,844 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 8430/994, 7219/844

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 8430/994, 7219/844?

Answer: LCM of Numerators as per given numbers 8430/994, 7219/844 is

LCM of Numerators i.e. for 8430,7219 is 60856170

GCF of denominators i.e. for 994,844 is 2.

Thus, LCM of Fractions is 30428085.Finally, LCM of Fractions for 8430/994, 7219/844 is 30428085.