Least Common Multiple of 89/258, 73/781, 501/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/258, 73/781, 501/310 quickly i.e. 3254997 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/258, 73/781, 501/310 is 3254997.

LCM(89/258, 73/781, 501/310) = 3254997

LCM of 89/258, 73/781, 501/310

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 89/258,73/781,501/310

Given numbers are 89/258,73/781,501/310

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 89,73,501

Least Common Multiple of Numerators i.e. LCM of 89,73,501 is 3254997.

GCF of Denominators means GCF of 258,781,310 as per the given fractions.

GCF of 258,781,310 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,73,501

LCM of Fractions 89/258,73/781,501/310 is 3254997

Given numbers has no common factors except 1. So, there LCM is their product i.e 3254997

Least Common Multiple of 89,73,501 with GCF Formula

Least Common Multiple of 89,73,501 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 89,73,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,73,501) = 1

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

GCF(89,73,501) x common factors =1 x 1 = 1

LCM(89,73,501) = ( 89 × 73 × 501 ) / 1

LCM(89,73,501) = 3254997 / 1

LCM(89,73,501) = 3254997


Lets's calculate GCF of 258,781,310

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3254997/1

Therefore the LCM of Fractions 89/258,73/781,501/310 is 3254997

Greatest Common Factor of 258,781,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,781,310 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 258,781,310 . The biggest common factor number is the GCF number.
So the greatest common factor 258,781,310 is 1.


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 89/258, 73/781, 501/310

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 89/258, 73/781, 501/310?

Answer: LCM of Numerators as per given numbers 89/258, 73/781, 501/310 is

LCM of Numerators i.e. for 89,73,501 is 3254997

GCF of denominators i.e. for 258,781,310 is 1.

Thus, LCM of Fractions is 3254997.Finally, LCM of Fractions for 89/258, 73/781, 501/310 is 3254997.