Least Common Multiple of 33/70, 435/46, 207/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/70, 435/46, 207/814 quickly i.e. 330165/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/70, 435/46, 207/814 is 330165/2.

LCM(33/70, 435/46, 207/814) = 330165/2

LCM of 33/70, 435/46, 207/814

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 33/70,435/46,207/814

Given numbers are 33/70,435/46,207/814

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 33,435,207

Least Common Multiple of Numerators i.e. LCM of 33,435,207 is 330165.

GCF of Denominators means GCF of 70,46,814 as per the given fractions.

GCF of 70,46,814 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,435,207

LCM of Fractions 33/70,435/46,207/814 is 330165/2

3 33, 435, 207
11, 145, 69

∴ So the LCM of the given numbers is 3 x 11 x 145 x 69 = 330165

Least Common Multiple of 33,435,207 with GCF Formula

Least Common Multiple of 33,435,207 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 33,435,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,435,207) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(33,435,207) x common factors =3 x 3 = 9

LCM(33,435,207) = ( 33 × 435 × 207 ) / 9

LCM(33,435,207) = 2971485 / 9

LCM(33,435,207) = 330165


Lets's calculate GCF of 70,46,814

2 70, 46, 814
35, 23, 407

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 330165/2

Therefore the LCM of Fractions 33/70,435/46,207/814 is 330165/2

Greatest Common Factor of 70,46,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,46,814 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 70,46,814 . The biggest common factor number is the GCF number.
So the greatest common factor 70,46,814 is 2.


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 33/70, 435/46, 207/814

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 33/70, 435/46, 207/814?

Answer: LCM of Numerators as per given numbers 33/70, 435/46, 207/814 is

LCM of Numerators i.e. for 33,435,207 is 330165

GCF of denominators i.e. for 70,46,814 is 2.

Thus, LCM of Fractions is 330165/2.Finally, LCM of Fractions for 33/70, 435/46, 207/814 is 330165/2.