Least Common Multiple of 70/405, 717/504, 442/939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/405, 717/504, 442/939 quickly i.e. 3697330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/405, 717/504, 442/939 is 3697330.

LCM(70/405, 717/504, 442/939) = 3697330

LCM of 70/405, 717/504, 442/939

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 70/405,717/504,442/939

Given numbers are 70/405,717/504,442/939

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 70,717,442

Least Common Multiple of Numerators i.e. LCM of 70,717,442 is 11091990.

GCF of Denominators means GCF of 405,504,939 as per the given fractions.

GCF of 405,504,939 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,717,442

LCM of Fractions 70/405,717/504,442/939 is 3697330

2 70, 717, 442
35, 717, 221

∴ So the LCM of the given numbers is 2 x 35 x 717 x 221 = 11091990

Least Common Multiple of 70,717,442 with GCF Formula

Least Common Multiple of 70,717,442 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 70,717,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,717,442) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(70,717,442) x common factors =1 x 2 = 2

LCM(70,717,442) = ( 70 × 717 × 442 ) / 2

LCM(70,717,442) = 22183980 / 2

LCM(70,717,442) = 11091990


Lets's calculate GCF of 405,504,939

3 405, 504, 939
135, 168, 313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11091990/3

Therefore the LCM of Fractions 70/405,717/504,442/939 is 3697330

Greatest Common Factor of 405,504,939 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,504,939 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Greatest Common Factor

We found the factors 405,504,939 . The biggest common factor number is the GCF number.
So the greatest common factor 405,504,939 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 70/405, 717/504, 442/939

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 70/405, 717/504, 442/939?

Answer: LCM of Numerators as per given numbers 70/405, 717/504, 442/939 is

LCM of Numerators i.e. for 70,717,442 is 11091990

GCF of denominators i.e. for 405,504,939 is 3.

Thus, LCM of Fractions is 3697330.Finally, LCM of Fractions for 70/405, 717/504, 442/939 is 3697330.