Least Common Multiple of 212/924, 1626/6608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 212/924, 1626/6608 quickly i.e. 172356/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 212/924, 1626/6608 is 172356/28.

LCM(212/924, 1626/6608) = 172356/28

LCM of 212/924, 1626/6608

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 212/924,1626/6608

Given numbers are 212/924,1626/6608

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 212,1626

Least Common Multiple of Numerators i.e. LCM of 212,1626 is 172356.

GCF of Denominators means GCF of 924,6608 as per the given fractions.

GCF of 924,6608 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 212,1626

LCM of Fractions 212/924,1626/6608 is 172356/28

2 212, 1626
106, 813

∴ So the LCM of the given numbers is 2 x 106 x 813 = 172356

Least Common Multiple of 212,1626 with GCF Formula

Least Common Multiple of 212,1626 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 212,1626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,1626) = 2

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

GCF(212,1626) x common factors =2 x 1 = 2

LCM(212,1626) = ( 212 × 1626 ) / 2

LCM(212,1626) = 344712 / 2

LCM(212,1626) = 172356


Lets's calculate GCF of 924,6608

2 924, 6608
2 462, 3304
7 231, 1652
33, 236

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172356/28

Therefore the LCM of Fractions 212/924,1626/6608 is 172356/28

Greatest Common Factor of 924,6608 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,6608 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 6608

List of positive integer factors of 6608 that divides 6608 without a remainder.

1,2,4,7,8,14,16,28,56,59,112,118,236,413,472,826,944,1652,3304,6608

Greatest Common Factor

We found the factors 924,6608 . The biggest common factor number is the GCF number.
So the greatest common factor 924,6608 is 28.


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 212/924, 1626/6608

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 212/924, 1626/6608?

Answer: LCM of Numerators as per given numbers 212/924, 1626/6608 is

LCM of Numerators i.e. for 212,1626 is 172356

GCF of denominators i.e. for 924,6608 is 28.

Thus, LCM of Fractions is 172356/28.Finally, LCM of Fractions for 212/924, 1626/6608 is 172356/28.