Least Common Multiple of 488/897, 889/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 488/897, 889/874 quickly i.e. 433832/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 488/897, 889/874 is 433832/23.

LCM(488/897, 889/874) = 433832/23

LCM of 488/897, 889/874

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 488/897,889/874

Given numbers are 488/897,889/874

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 488,889

Least Common Multiple of Numerators i.e. LCM of 488,889 is 433832.

GCF of Denominators means GCF of 897,874 as per the given fractions.

GCF of 897,874 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 488,889

LCM of Fractions 488/897,889/874 is 433832/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 433832

Least Common Multiple of 488,889 with GCF Formula

Least Common Multiple of 488,889 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 488,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,889) = 1

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

GCF(488,889) x common factors =1 x 1 = 1

LCM(488,889) = ( 488 × 889 ) / 1

LCM(488,889) = 433832 / 1

LCM(488,889) = 433832


Lets's calculate GCF of 897,874

23 897, 874
39, 38

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 433832/23

Therefore the LCM of Fractions 488/897,889/874 is 433832/23

Greatest Common Factor of 897,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,874 By Matching Biggest Common Factor Method

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 874

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

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

Greatest Common Factor

We found the factors 897,874 . The biggest common factor number is the GCF number.
So the greatest common factor 897,874 is 23.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 488/897, 889/874

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 488/897, 889/874?

Answer: LCM of Numerators as per given numbers 488/897, 889/874 is

LCM of Numerators i.e. for 488,889 is 433832

GCF of denominators i.e. for 897,874 is 23.

Thus, LCM of Fractions is 433832/23.Finally, LCM of Fractions for 488/897, 889/874 is 433832/23.