Least Common Multiple of 212/94, 219/88, 460/479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 212/94, 219/88, 460/479 quickly i.e. 5339220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 212/94, 219/88, 460/479 is 5339220.

LCM(212/94, 219/88, 460/479) = 5339220

LCM of 212/94, 219/88, 460/479

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 212/94,219/88,460/479

Given numbers are 212/94,219/88,460/479

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 212,219,460

Least Common Multiple of Numerators i.e. LCM of 212,219,460 is 5339220.

GCF of Denominators means GCF of 94,88,479 as per the given fractions.

GCF of 94,88,479 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 212,219,460

LCM of Fractions 212/94,219/88,460/479 is 5339220

2 212, 219, 460
2 106, 219, 230
53, 219, 115

∴ So the LCM of the given numbers is 2 x 2 x 53 x 219 x 115 = 5339220

Least Common Multiple of 212,219,460 with GCF Formula

Least Common Multiple of 212,219,460 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 212,219,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,219,460) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(212,219,460) x common factors =1 x 4 = 4

LCM(212,219,460) = ( 212 × 219 × 460 ) / 4

LCM(212,219,460) = 21356880 / 4

LCM(212,219,460) = 5339220


Lets's calculate GCF of 94,88,479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5339220/1

Therefore the LCM of Fractions 212/94,219/88,460/479 is 5339220

Greatest Common Factor of 94,88,479 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,88,479 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Greatest Common Factor

We found the factors 94,88,479 . The biggest common factor number is the GCF number.
So the greatest common factor 94,88,479 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 212/94, 219/88, 460/479

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 212/94, 219/88, 460/479?

Answer: LCM of Numerators as per given numbers 212/94, 219/88, 460/479 is

LCM of Numerators i.e. for 212,219,460 is 5339220

GCF of denominators i.e. for 94,88,479 is 1.

Thus, LCM of Fractions is 5339220.Finally, LCM of Fractions for 212/94, 219/88, 460/479 is 5339220.