Least Common Multiple of 175/998, 468/330, 702/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 175/998, 468/330, 702/405 quickly i.e. 245700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 175/998, 468/330, 702/405 is 245700.

LCM(175/998, 468/330, 702/405) = 245700

LCM of 175/998, 468/330, 702/405

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 175/998,468/330,702/405

Given numbers are 175/998,468/330,702/405

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 175,468,702

Least Common Multiple of Numerators i.e. LCM of 175,468,702 is 245700.

GCF of Denominators means GCF of 998,330,405 as per the given fractions.

GCF of 998,330,405 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 175,468,702

LCM of Fractions 175/998,468/330,702/405 is 245700

2 175, 468, 702
3 175, 234, 351
3 175, 78, 117
13 175, 26, 39
175, 2, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 175 x 2 x 3 = 245700

Least Common Multiple of 175,468,702 with GCF Formula

Least Common Multiple of 175,468,702 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 175,468,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,468,702) = 1

common factors(in case of two or more numbers have common factors) = 234

GCF(175,468,702) x common factors =1 x 234 = 234

LCM(175,468,702) = ( 175 × 468 × 702 ) / 234

LCM(175,468,702) = 57493800 / 234

LCM(175,468,702) = 245700


Lets's calculate GCF of 998,330,405

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245700/1

Therefore the LCM of Fractions 175/998,468/330,702/405 is 245700

Greatest Common Factor of 998,330,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,330,405 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

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

Greatest Common Factor

We found the factors 998,330,405 . The biggest common factor number is the GCF number.
So the greatest common factor 998,330,405 is 1.


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 175/998, 468/330, 702/405

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 175/998, 468/330, 702/405?

Answer: LCM of Numerators as per given numbers 175/998, 468/330, 702/405 is

LCM of Numerators i.e. for 175,468,702 is 245700

GCF of denominators i.e. for 998,330,405 is 1.

Thus, LCM of Fractions is 245700.Finally, LCM of Fractions for 175/998, 468/330, 702/405 is 245700.