Least Common Multiple of 1601/868, 5087/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1601/868, 5087/672 quickly i.e. 8144287/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1601/868, 5087/672 is 8144287/28.

LCM(1601/868, 5087/672) = 8144287/28

LCM of 1601/868, 5087/672

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 1601/868,5087/672

Given numbers are 1601/868,5087/672

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 1601,5087

Least Common Multiple of Numerators i.e. LCM of 1601,5087 is 8144287.

GCF of Denominators means GCF of 868,672 as per the given fractions.

GCF of 868,672 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1601,5087

LCM of Fractions 1601/868,5087/672 is 8144287/28

Given numbers has no common factors except 1. So, there LCM is their product i.e 8144287

Least Common Multiple of 1601,5087 with GCF Formula

Least Common Multiple of 1601,5087 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 1601,5087 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1601,5087) = 1

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

GCF(1601,5087) x common factors =1 x 1 = 1

LCM(1601,5087) = ( 1601 × 5087 ) / 1

LCM(1601,5087) = 8144287 / 1

LCM(1601,5087) = 8144287


Lets's calculate GCF of 868,672

2 868, 672
2 434, 336
7 217, 168
31, 24

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8144287/28

Therefore the LCM of Fractions 1601/868,5087/672 is 8144287/28

Greatest Common Factor of 868,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,672 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 868,672 . The biggest common factor number is the GCF number.
So the greatest common factor 868,672 is 28.


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 1601/868, 5087/672

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 1601/868, 5087/672?

Answer: LCM of Numerators as per given numbers 1601/868, 5087/672 is

LCM of Numerators i.e. for 1601,5087 is 8144287

GCF of denominators i.e. for 868,672 is 28.

Thus, LCM of Fractions is 8144287/28.Finally, LCM of Fractions for 1601/868, 5087/672 is 8144287/28.