Least Common Multiple of 7030/623, 3842/7008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7030/623, 3842/7008 quickly i.e. 13504630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7030/623, 3842/7008 is 13504630.

LCM(7030/623, 3842/7008) = 13504630

LCM of 7030/623, 3842/7008

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 7030/623,3842/7008

Given numbers are 7030/623,3842/7008

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 7030,3842

Least Common Multiple of Numerators i.e. LCM of 7030,3842 is 13504630.

GCF of Denominators means GCF of 623,7008 as per the given fractions.

GCF of 623,7008 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7030,3842

LCM of Fractions 7030/623,3842/7008 is 13504630

2 7030, 3842
3515, 1921

∴ So the LCM of the given numbers is 2 x 3515 x 1921 = 13504630

Least Common Multiple of 7030,3842 with GCF Formula

Least Common Multiple of 7030,3842 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 7030,3842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7030,3842) = 2

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

GCF(7030,3842) x common factors =2 x 1 = 2

LCM(7030,3842) = ( 7030 × 3842 ) / 2

LCM(7030,3842) = 27009260 / 2

LCM(7030,3842) = 13504630


Lets's calculate GCF of 623,7008

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13504630/1

Therefore the LCM of Fractions 7030/623,3842/7008 is 13504630

Greatest Common Factor of 623,7008 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,7008 By Matching Biggest Common Factor Method

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 7008

List of positive integer factors of 7008 that divides 7008 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,73,96,146,219,292,438,584,876,1168,1752,2336,3504,7008

Greatest Common Factor

We found the factors 623,7008 . The biggest common factor number is the GCF number.
So the greatest common factor 623,7008 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 7030/623, 3842/7008

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 7030/623, 3842/7008?

Answer: LCM of Numerators as per given numbers 7030/623, 3842/7008 is

LCM of Numerators i.e. for 7030,3842 is 13504630

GCF of denominators i.e. for 623,7008 is 1.

Thus, LCM of Fractions is 13504630.Finally, LCM of Fractions for 7030/623, 3842/7008 is 13504630.