Least Common Multiple of 70/735, 33/300, 474/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/735, 33/300, 474/810 quickly i.e. 12166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/735, 33/300, 474/810 is 12166.

LCM(70/735, 33/300, 474/810) = 12166

LCM of 70/735, 33/300, 474/810

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 70/735,33/300,474/810

Given numbers are 70/735,33/300,474/810

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 70,33,474

Least Common Multiple of Numerators i.e. LCM of 70,33,474 is 182490.

GCF of Denominators means GCF of 735,300,810 as per the given fractions.

GCF of 735,300,810 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,33,474

LCM of Fractions 70/735,33/300,474/810 is 12166

2 70, 33, 474
3 35, 33, 237
35, 11, 79

∴ So the LCM of the given numbers is 2 x 3 x 35 x 11 x 79 = 182490

Least Common Multiple of 70,33,474 with GCF Formula

Least Common Multiple of 70,33,474 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 70,33,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,33,474) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(70,33,474) x common factors =1 x 6 = 6

LCM(70,33,474) = ( 70 × 33 × 474 ) / 6

LCM(70,33,474) = 1094940 / 6

LCM(70,33,474) = 182490


Lets's calculate GCF of 735,300,810

3 735, 300, 810
5 245, 100, 270
49, 20, 54

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182490/15

Therefore the LCM of Fractions 70/735,33/300,474/810 is 12166

Greatest Common Factor of 735,300,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,300,810 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

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

Greatest Common Factor

We found the factors 735,300,810 . The biggest common factor number is the GCF number.
So the greatest common factor 735,300,810 is 15.


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 70/735, 33/300, 474/810

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 70/735, 33/300, 474/810?

Answer: LCM of Numerators as per given numbers 70/735, 33/300, 474/810 is

LCM of Numerators i.e. for 70,33,474 is 182490

GCF of denominators i.e. for 735,300,810 is 15.

Thus, LCM of Fractions is 12166.Finally, LCM of Fractions for 70/735, 33/300, 474/810 is 12166.