Least Common Multiple of 2525/505, 8468/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2525/505, 8468/514 quickly i.e. 21381700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2525/505, 8468/514 is 21381700.

LCM(2525/505, 8468/514) = 21381700

LCM of 2525/505, 8468/514

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 2525/505,8468/514

Given numbers are 2525/505,8468/514

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 2525,8468

Least Common Multiple of Numerators i.e. LCM of 2525,8468 is 21381700.

GCF of Denominators means GCF of 505,514 as per the given fractions.

GCF of 505,514 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2525,8468

LCM of Fractions 2525/505,8468/514 is 21381700

Given numbers has no common factors except 1. So, there LCM is their product i.e 21381700

Least Common Multiple of 2525,8468 with GCF Formula

Least Common Multiple of 2525,8468 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 2525,8468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2525,8468) = 1

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

GCF(2525,8468) x common factors =1 x 1 = 1

LCM(2525,8468) = ( 2525 × 8468 ) / 1

LCM(2525,8468) = 21381700 / 1

LCM(2525,8468) = 21381700


Lets's calculate GCF of 505,514

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21381700/1

Therefore the LCM of Fractions 2525/505,8468/514 is 21381700

Greatest Common Factor of 505,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 505,514 By Matching Biggest Common Factor Method

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 505,514 . The biggest common factor number is the GCF number.
So the greatest common factor 505,514 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2525/505, 8468/514

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 2525/505, 8468/514?

Answer: LCM of Numerators as per given numbers 2525/505, 8468/514 is

LCM of Numerators i.e. for 2525,8468 is 21381700

GCF of denominators i.e. for 505,514 is 1.

Thus, LCM of Fractions is 21381700.Finally, LCM of Fractions for 2525/505, 8468/514 is 21381700.