Least Common Multiple of 872/49, 579/1267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 872/49, 579/1267 quickly i.e. 504888/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/49, 579/1267 is 504888/7.

LCM(872/49, 579/1267) = 504888/7

LCM of 872/49, 579/1267

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 872/49,579/1267

Given numbers are 872/49,579/1267

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 872,579

Least Common Multiple of Numerators i.e. LCM of 872,579 is 504888.

GCF of Denominators means GCF of 49,1267 as per the given fractions.

GCF of 49,1267 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,579

LCM of Fractions 872/49,579/1267 is 504888/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 504888

Least Common Multiple of 872,579 with GCF Formula

Least Common Multiple of 872,579 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 872,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,579) = 1

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

GCF(872,579) x common factors =1 x 1 = 1

LCM(872,579) = ( 872 × 579 ) / 1

LCM(872,579) = 504888 / 1

LCM(872,579) = 504888


Lets's calculate GCF of 49,1267

7 49, 1267
7, 181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 504888/7

Therefore the LCM of Fractions 872/49,579/1267 is 504888/7

Greatest Common Factor of 49,1267 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,1267 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 1267

List of positive integer factors of 1267 that divides 1267 without a remainder.

1,7,181,1267

Greatest Common Factor

We found the factors 49,1267 . The biggest common factor number is the GCF number.
So the greatest common factor 49,1267 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 872/49, 579/1267

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 872/49, 579/1267?

Answer: LCM of Numerators as per given numbers 872/49, 579/1267 is

LCM of Numerators i.e. for 872,579 is 504888

GCF of denominators i.e. for 49,1267 is 7.

Thus, LCM of Fractions is 504888/7.Finally, LCM of Fractions for 872/49, 579/1267 is 504888/7.