Least Common Multiple of 872/874, 1001/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 872/874, 1001/268 quickly i.e. 436436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/874, 1001/268 is 436436.

LCM(872/874, 1001/268) = 436436

LCM of 872/874, 1001/268

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 872/874,1001/268

Given numbers are 872/874,1001/268

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 872,1001

Least Common Multiple of Numerators i.e. LCM of 872,1001 is 872872.

GCF of Denominators means GCF of 874,268 as per the given fractions.

GCF of 874,268 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,1001

LCM of Fractions 872/874,1001/268 is 436436

Given numbers has no common factors except 1. So, there LCM is their product i.e 872872

Least Common Multiple of 872,1001 with GCF Formula

Least Common Multiple of 872,1001 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 872,1001 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,1001) = 1

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

GCF(872,1001) x common factors =1 x 1 = 1

LCM(872,1001) = ( 872 × 1001 ) / 1

LCM(872,1001) = 872872 / 1

LCM(872,1001) = 872872


Lets's calculate GCF of 874,268

2 874, 268
437, 134

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 872872/2

Therefore the LCM of Fractions 872/874,1001/268 is 436436

Greatest Common Factor of 874,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,268 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 874,268 . The biggest common factor number is the GCF number.
So the greatest common factor 874,268 is 2.


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 872/874, 1001/268

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 872/874, 1001/268?

Answer: LCM of Numerators as per given numbers 872/874, 1001/268 is

LCM of Numerators i.e. for 872,1001 is 872872

GCF of denominators i.e. for 874,268 is 2.

Thus, LCM of Fractions is 436436.Finally, LCM of Fractions for 872/874, 1001/268 is 436436.