Least Common Multiple of 7461/630, 6863/1547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7461/630, 6863/1547 quickly i.e. 51204843/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7461/630, 6863/1547 is 51204843/7.

LCM(7461/630, 6863/1547) = 51204843/7

LCM of 7461/630, 6863/1547

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 7461/630,6863/1547

Given numbers are 7461/630,6863/1547

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 7461,6863

Least Common Multiple of Numerators i.e. LCM of 7461,6863 is 51204843.

GCF of Denominators means GCF of 630,1547 as per the given fractions.

GCF of 630,1547 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7461,6863

LCM of Fractions 7461/630,6863/1547 is 51204843/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 51204843

Least Common Multiple of 7461,6863 with GCF Formula

Least Common Multiple of 7461,6863 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 7461,6863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7461,6863) = 1

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

GCF(7461,6863) x common factors =1 x 1 = 1

LCM(7461,6863) = ( 7461 × 6863 ) / 1

LCM(7461,6863) = 51204843 / 1

LCM(7461,6863) = 51204843


Lets's calculate GCF of 630,1547

7 630, 1547
90, 221

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51204843/7

Therefore the LCM of Fractions 7461/630,6863/1547 is 51204843/7

Greatest Common Factor of 630,1547 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,1547 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 1547

List of positive integer factors of 1547 that divides 1547 without a remainder.

1,7,13,17,91,119,221,1547

Greatest Common Factor

We found the factors 630,1547 . The biggest common factor number is the GCF number.
So the greatest common factor 630,1547 is 7.


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 7461/630, 6863/1547

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 7461/630, 6863/1547?

Answer: LCM of Numerators as per given numbers 7461/630, 6863/1547 is

LCM of Numerators i.e. for 7461,6863 is 51204843

GCF of denominators i.e. for 630,1547 is 7.

Thus, LCM of Fractions is 51204843/7.Finally, LCM of Fractions for 7461/630, 6863/1547 is 51204843/7.