Least Common Multiple of 212/527, 531/850, 322/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 212/527, 531/850, 322/685 quickly i.e. 18124092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 212/527, 531/850, 322/685 is 18124092.

LCM(212/527, 531/850, 322/685) = 18124092

LCM of 212/527, 531/850, 322/685

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 212/527,531/850,322/685

Given numbers are 212/527,531/850,322/685

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 212,531,322

Least Common Multiple of Numerators i.e. LCM of 212,531,322 is 18124092.

GCF of Denominators means GCF of 527,850,685 as per the given fractions.

GCF of 527,850,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 212,531,322

LCM of Fractions 212/527,531/850,322/685 is 18124092

2 212, 531, 322
106, 531, 161

∴ So the LCM of the given numbers is 2 x 106 x 531 x 161 = 18124092

Least Common Multiple of 212,531,322 with GCF Formula

Least Common Multiple of 212,531,322 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 212,531,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,531,322) = 1

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

GCF(212,531,322) x common factors =1 x 2 = 2

LCM(212,531,322) = ( 212 × 531 × 322 ) / 2

LCM(212,531,322) = 36248184 / 2

LCM(212,531,322) = 18124092


Lets's calculate GCF of 527,850,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18124092/1

Therefore the LCM of Fractions 212/527,531/850,322/685 is 18124092

Greatest Common Factor of 527,850,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,850,685 By Matching Biggest Common Factor Method

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 527,850,685 . The biggest common factor number is the GCF number.
So the greatest common factor 527,850,685 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 212/527, 531/850, 322/685

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 212/527, 531/850, 322/685?

Answer: LCM of Numerators as per given numbers 212/527, 531/850, 322/685 is

LCM of Numerators i.e. for 212,531,322 is 18124092

GCF of denominators i.e. for 527,850,685 is 1.

Thus, LCM of Fractions is 18124092.Finally, LCM of Fractions for 212/527, 531/850, 322/685 is 18124092.