Least Common Multiple of 735/96, 346/81, 473/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 735/96, 346/81, 473/510 quickly i.e. 40096210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 735/96, 346/81, 473/510 is 40096210.

LCM(735/96, 346/81, 473/510) = 40096210

LCM of 735/96, 346/81, 473/510

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 735/96,346/81,473/510

Given numbers are 735/96,346/81,473/510

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 735,346,473

Least Common Multiple of Numerators i.e. LCM of 735,346,473 is 120288630.

GCF of Denominators means GCF of 96,81,510 as per the given fractions.

GCF of 96,81,510 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 735,346,473

LCM of Fractions 735/96,346/81,473/510 is 40096210

Given numbers has no common factors except 1. So, there LCM is their product i.e 120288630

Least Common Multiple of 735,346,473 with GCF Formula

Least Common Multiple of 735,346,473 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 735,346,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,346,473) = 1

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

GCF(735,346,473) x common factors =1 x 1 = 1

LCM(735,346,473) = ( 735 × 346 × 473 ) / 1

LCM(735,346,473) = 120288630 / 1

LCM(735,346,473) = 120288630


Lets's calculate GCF of 96,81,510

3 96, 81, 510
32, 27, 170

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120288630/3

Therefore the LCM of Fractions 735/96,346/81,473/510 is 40096210

Greatest Common Factor of 96,81,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,81,510 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 96,81,510 . The biggest common factor number is the GCF number.
So the greatest common factor 96,81,510 is 3.


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 735/96, 346/81, 473/510

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 735/96, 346/81, 473/510?

Answer: LCM of Numerators as per given numbers 735/96, 346/81, 473/510 is

LCM of Numerators i.e. for 735,346,473 is 120288630

GCF of denominators i.e. for 96,81,510 is 3.

Thus, LCM of Fractions is 40096210.Finally, LCM of Fractions for 735/96, 346/81, 473/510 is 40096210.