Least Common Multiple of 25/560, 5581/3688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/560, 5581/3688 quickly i.e. 139525/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/560, 5581/3688 is 139525/8.

LCM(25/560, 5581/3688) = 139525/8

LCM of 25/560, 5581/3688

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 25/560,5581/3688

Given numbers are 25/560,5581/3688

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 25,5581

Least Common Multiple of Numerators i.e. LCM of 25,5581 is 139525.

GCF of Denominators means GCF of 560,3688 as per the given fractions.

GCF of 560,3688 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,5581

LCM of Fractions 25/560,5581/3688 is 139525/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 139525

Least Common Multiple of 25,5581 with GCF Formula

Least Common Multiple of 25,5581 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 25,5581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,5581) = 1

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

GCF(25,5581) x common factors =1 x 1 = 1

LCM(25,5581) = ( 25 × 5581 ) / 1

LCM(25,5581) = 139525 / 1

LCM(25,5581) = 139525


Lets's calculate GCF of 560,3688

2 560, 3688
2 280, 1844
2 140, 922
70, 461

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139525/8

Therefore the LCM of Fractions 25/560,5581/3688 is 139525/8

Greatest Common Factor of 560,3688 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,3688 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 3688

List of positive integer factors of 3688 that divides 3688 without a remainder.

1,2,4,8,461,922,1844,3688

Greatest Common Factor

We found the factors 560,3688 . The biggest common factor number is the GCF number.
So the greatest common factor 560,3688 is 8.


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 25/560, 5581/3688

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 25/560, 5581/3688?

Answer: LCM of Numerators as per given numbers 25/560, 5581/3688 is

LCM of Numerators i.e. for 25,5581 is 139525

GCF of denominators i.e. for 560,3688 is 8.

Thus, LCM of Fractions is 139525/8.Finally, LCM of Fractions for 25/560, 5581/3688 is 139525/8.