Least Common Multiple of 35/462, 19/567, 213/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/462, 19/567, 213/182 quickly i.e. 20235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/462, 19/567, 213/182 is 20235.

LCM(35/462, 19/567, 213/182) = 20235

LCM of 35/462, 19/567, 213/182

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 35/462,19/567,213/182

Given numbers are 35/462,19/567,213/182

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 35,19,213

Least Common Multiple of Numerators i.e. LCM of 35,19,213 is 141645.

GCF of Denominators means GCF of 462,567,182 as per the given fractions.

GCF of 462,567,182 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,19,213

LCM of Fractions 35/462,19/567,213/182 is 20235

Given numbers has no common factors except 1. So, there LCM is their product i.e 141645

Least Common Multiple of 35,19,213 with GCF Formula

Least Common Multiple of 35,19,213 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 35,19,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,19,213) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(35,19,213) x common factors =1 x 1 = 1

LCM(35,19,213) = ( 35 × 19 × 213 ) / 1

LCM(35,19,213) = 141645 / 1

LCM(35,19,213) = 141645


Lets's calculate GCF of 462,567,182

7 462, 567, 182
66, 81, 26

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141645/7

Therefore the LCM of Fractions 35/462,19/567,213/182 is 20235

Greatest Common Factor of 462,567,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,567,182 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 462,567,182 . The biggest common factor number is the GCF number.
So the greatest common factor 462,567,182 is 7.


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 35/462, 19/567, 213/182

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 35/462, 19/567, 213/182?

Answer: LCM of Numerators as per given numbers 35/462, 19/567, 213/182 is

LCM of Numerators i.e. for 35,19,213 is 141645

GCF of denominators i.e. for 462,567,182 is 7.

Thus, LCM of Fractions is 20235.Finally, LCM of Fractions for 35/462, 19/567, 213/182 is 20235.