Least Common Multiple of 2729/629, 4575/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2729/629, 4575/851 quickly i.e. 12485175/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2729/629, 4575/851 is 12485175/37.

LCM(2729/629, 4575/851) = 12485175/37

LCM of 2729/629, 4575/851

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 2729/629,4575/851

Given numbers are 2729/629,4575/851

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 2729,4575

Least Common Multiple of Numerators i.e. LCM of 2729,4575 is 12485175.

GCF of Denominators means GCF of 629,851 as per the given fractions.

GCF of 629,851 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2729,4575

LCM of Fractions 2729/629,4575/851 is 12485175/37

Given numbers has no common factors except 1. So, there LCM is their product i.e 12485175

Least Common Multiple of 2729,4575 with GCF Formula

Least Common Multiple of 2729,4575 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 2729,4575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2729,4575) = 1

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

GCF(2729,4575) x common factors =1 x 1 = 1

LCM(2729,4575) = ( 2729 × 4575 ) / 1

LCM(2729,4575) = 12485175 / 1

LCM(2729,4575) = 12485175


Lets's calculate GCF of 629,851

37 629, 851
17, 23

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12485175/37

Therefore the LCM of Fractions 2729/629,4575/851 is 12485175/37

Greatest Common Factor of 629,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 629,851 By Matching Biggest Common Factor Method

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Greatest Common Factor

We found the factors 629,851 . The biggest common factor number is the GCF number.
So the greatest common factor 629,851 is 37.


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 2729/629, 4575/851

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 2729/629, 4575/851?

Answer: LCM of Numerators as per given numbers 2729/629, 4575/851 is

LCM of Numerators i.e. for 2729,4575 is 12485175

GCF of denominators i.e. for 629,851 is 37.

Thus, LCM of Fractions is 12485175/37.Finally, LCM of Fractions for 2729/629, 4575/851 is 12485175/37.