Least Common Multiple of 30/35, 33/63, 398/529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/35, 33/63, 398/529 quickly i.e. 65670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/35, 33/63, 398/529 is 65670.

LCM(30/35, 33/63, 398/529) = 65670

LCM of 30/35, 33/63, 398/529

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 30/35,33/63,398/529

Given numbers are 30/35,33/63,398/529

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 30,33,398

Least Common Multiple of Numerators i.e. LCM of 30,33,398 is 65670.

GCF of Denominators means GCF of 35,63,529 as per the given fractions.

GCF of 35,63,529 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,33,398

LCM of Fractions 30/35,33/63,398/529 is 65670

2 30, 33, 398
3 15, 33, 199
5, 11, 199

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 199 = 65670

Least Common Multiple of 30,33,398 with GCF Formula

Least Common Multiple of 30,33,398 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 30,33,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,33,398) = 1

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

GCF(30,33,398) x common factors =1 x 6 = 6

LCM(30,33,398) = ( 30 × 33 × 398 ) / 6

LCM(30,33,398) = 394020 / 6

LCM(30,33,398) = 65670


Lets's calculate GCF of 35,63,529

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65670/1

Therefore the LCM of Fractions 30/35,33/63,398/529 is 65670

Greatest Common Factor of 35,63,529 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,63,529 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Greatest Common Factor

We found the factors 35,63,529 . The biggest common factor number is the GCF number.
So the greatest common factor 35,63,529 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 30/35, 33/63, 398/529

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 30/35, 33/63, 398/529?

Answer: LCM of Numerators as per given numbers 30/35, 33/63, 398/529 is

LCM of Numerators i.e. for 30,33,398 is 65670

GCF of denominators i.e. for 35,63,529 is 1.

Thus, LCM of Fractions is 65670.Finally, LCM of Fractions for 30/35, 33/63, 398/529 is 65670.