Least Common Multiple of 309/730, 256/810, 175/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/730, 256/810, 175/781 quickly i.e. 13843200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/730, 256/810, 175/781 is 13843200.

LCM(309/730, 256/810, 175/781) = 13843200

LCM of 309/730, 256/810, 175/781

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 309/730,256/810,175/781

Given numbers are 309/730,256/810,175/781

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 309,256,175

Least Common Multiple of Numerators i.e. LCM of 309,256,175 is 13843200.

GCF of Denominators means GCF of 730,810,781 as per the given fractions.

GCF of 730,810,781 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,256,175

LCM of Fractions 309/730,256/810,175/781 is 13843200

Given numbers has no common factors except 1. So, there LCM is their product i.e 13843200

Least Common Multiple of 309,256,175 with GCF Formula

Least Common Multiple of 309,256,175 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 309,256,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,256,175) = 1

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

GCF(309,256,175) x common factors =1 x 1 = 1

LCM(309,256,175) = ( 309 × 256 × 175 ) / 1

LCM(309,256,175) = 13843200 / 1

LCM(309,256,175) = 13843200


Lets's calculate GCF of 730,810,781

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13843200/1

Therefore the LCM of Fractions 309/730,256/810,175/781 is 13843200

Greatest Common Factor of 730,810,781 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,810,781 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 781

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

1,11,71,781

Greatest Common Factor

We found the factors 730,810,781 . The biggest common factor number is the GCF number.
So the greatest common factor 730,810,781 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 309/730, 256/810, 175/781

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 309/730, 256/810, 175/781?

Answer: LCM of Numerators as per given numbers 309/730, 256/810, 175/781 is

LCM of Numerators i.e. for 309,256,175 is 13843200

GCF of denominators i.e. for 730,810,781 is 1.

Thus, LCM of Fractions is 13843200.Finally, LCM of Fractions for 309/730, 256/810, 175/781 is 13843200.