Least Common Multiple of 69/175, 704/230, 958/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/175, 704/230, 958/820 quickly i.e. 23267904/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/175, 704/230, 958/820 is 23267904/5.

LCM(69/175, 704/230, 958/820) = 23267904/5

LCM of 69/175, 704/230, 958/820

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 69/175,704/230,958/820

Given numbers are 69/175,704/230,958/820

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 69,704,958

Least Common Multiple of Numerators i.e. LCM of 69,704,958 is 23267904.

GCF of Denominators means GCF of 175,230,820 as per the given fractions.

GCF of 175,230,820 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,704,958

LCM of Fractions 69/175,704/230,958/820 is 23267904/5

2 69, 704, 958
69, 352, 479

∴ So the LCM of the given numbers is 2 x 69 x 352 x 479 = 23267904

Least Common Multiple of 69,704,958 with GCF Formula

Least Common Multiple of 69,704,958 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 69,704,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,704,958) = 1

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

GCF(69,704,958) x common factors =1 x 2 = 2

LCM(69,704,958) = ( 69 × 704 × 958 ) / 2

LCM(69,704,958) = 46535808 / 2

LCM(69,704,958) = 23267904


Lets's calculate GCF of 175,230,820

5 175, 230, 820
35, 46, 164

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23267904/5

Therefore the LCM of Fractions 69/175,704/230,958/820 is 23267904/5

Greatest Common Factor of 175,230,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,230,820 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 175,230,820 . The biggest common factor number is the GCF number.
So the greatest common factor 175,230,820 is 5.


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 69/175, 704/230, 958/820

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 69/175, 704/230, 958/820?

Answer: LCM of Numerators as per given numbers 69/175, 704/230, 958/820 is

LCM of Numerators i.e. for 69,704,958 is 23267904

GCF of denominators i.e. for 175,230,820 is 5.

Thus, LCM of Fractions is 23267904/5.Finally, LCM of Fractions for 69/175, 704/230, 958/820 is 23267904/5.