Least Common Multiple of 581/125, 3514/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 581/125, 3514/775 quickly i.e. 291662/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 581/125, 3514/775 is 291662/25.

LCM(581/125, 3514/775) = 291662/25

LCM of 581/125, 3514/775

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 581/125,3514/775

Given numbers are 581/125,3514/775

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 581,3514

Least Common Multiple of Numerators i.e. LCM of 581,3514 is 291662.

GCF of Denominators means GCF of 125,775 as per the given fractions.

GCF of 125,775 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 581,3514

LCM of Fractions 581/125,3514/775 is 291662/25

7 581, 3514
83, 502

∴ So the LCM of the given numbers is 7 x 83 x 502 = 291662

Least Common Multiple of 581,3514 with GCF Formula

Least Common Multiple of 581,3514 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 581,3514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,3514) = 7

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

GCF(581,3514) x common factors =7 x 1 = 7

LCM(581,3514) = ( 581 × 3514 ) / 7

LCM(581,3514) = 2041634 / 7

LCM(581,3514) = 291662


Lets's calculate GCF of 125,775

5 125, 775
5 25, 155
5, 31

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 291662/25

Therefore the LCM of Fractions 581/125,3514/775 is 291662/25

Greatest Common Factor of 125,775 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,775 By Matching Biggest Common Factor Method

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Greatest Common Factor

We found the factors 125,775 . The biggest common factor number is the GCF number.
So the greatest common factor 125,775 is 25.


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 581/125, 3514/775

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 581/125, 3514/775?

Answer: LCM of Numerators as per given numbers 581/125, 3514/775 is

LCM of Numerators i.e. for 581,3514 is 291662

GCF of denominators i.e. for 125,775 is 25.

Thus, LCM of Fractions is 291662/25.Finally, LCM of Fractions for 581/125, 3514/775 is 291662/25.