Least Common Multiple of 212/704, 4227/8624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 212/704, 4227/8624 quickly i.e. 896124/176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 212/704, 4227/8624 is 896124/176.

LCM(212/704, 4227/8624) = 896124/176

LCM of 212/704, 4227/8624

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 212/704,4227/8624

Given numbers are 212/704,4227/8624

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 212,4227

Least Common Multiple of Numerators i.e. LCM of 212,4227 is 896124.

GCF of Denominators means GCF of 704,8624 as per the given fractions.

GCF of 704,8624 is 176 as it is the largest common factor for these numbers.

Lets's calculate LCM of 212,4227

LCM of Fractions 212/704,4227/8624 is 896124/176

Given numbers has no common factors except 1. So, there LCM is their product i.e 896124

Least Common Multiple of 212,4227 with GCF Formula

Least Common Multiple of 212,4227 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 212,4227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,4227) = 1

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

GCF(212,4227) x common factors =1 x 1 = 1

LCM(212,4227) = ( 212 × 4227 ) / 1

LCM(212,4227) = 896124 / 1

LCM(212,4227) = 896124


Lets's calculate GCF of 704,8624

2 704, 8624
2 352, 4312
2 176, 2156
2 88, 1078
11 44, 539
4, 49

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 11 = 176

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 896124/176

Therefore the LCM of Fractions 212/704,4227/8624 is 896124/176

Greatest Common Factor of 704,8624 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,8624 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 8624

List of positive integer factors of 8624 that divides 8624 without a remainder.

1,2,4,7,8,11,14,16,22,28,44,49,56,77,88,98,112,154,176,196,308,392,539,616,784,1078,1232,2156,4312,8624

Greatest Common Factor

We found the factors 704,8624 . The biggest common factor number is the GCF number.
So the greatest common factor 704,8624 is 176.


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 212/704, 4227/8624

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 212/704, 4227/8624?

Answer: LCM of Numerators as per given numbers 212/704, 4227/8624 is

LCM of Numerators i.e. for 212,4227 is 896124

GCF of denominators i.e. for 704,8624 is 176.

Thus, LCM of Fractions is 896124/176.Finally, LCM of Fractions for 212/704, 4227/8624 is 896124/176.