Least Common Multiple of 75/26, 276/84, 212/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/26, 276/84, 212/592 quickly i.e. 182850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/26, 276/84, 212/592 is 182850.

LCM(75/26, 276/84, 212/592) = 182850

LCM of 75/26, 276/84, 212/592

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 75/26,276/84,212/592

Given numbers are 75/26,276/84,212/592

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 75,276,212

Least Common Multiple of Numerators i.e. LCM of 75,276,212 is 365700.

GCF of Denominators means GCF of 26,84,592 as per the given fractions.

GCF of 26,84,592 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,276,212

LCM of Fractions 75/26,276/84,212/592 is 182850

2 75, 276, 212
2 75, 138, 106
3 75, 69, 53
25, 23, 53

∴ So the LCM of the given numbers is 2 x 2 x 3 x 25 x 23 x 53 = 365700

Least Common Multiple of 75,276,212 with GCF Formula

Least Common Multiple of 75,276,212 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 75,276,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,276,212) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(75,276,212) x common factors =1 x 12 = 12

LCM(75,276,212) = ( 75 × 276 × 212 ) / 12

LCM(75,276,212) = 4388400 / 12

LCM(75,276,212) = 365700


Lets's calculate GCF of 26,84,592

2 26, 84, 592
13, 42, 296

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365700/2

Therefore the LCM of Fractions 75/26,276/84,212/592 is 182850

Greatest Common Factor of 26,84,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,84,592 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 26,84,592 . The biggest common factor number is the GCF number.
So the greatest common factor 26,84,592 is 2.


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 75/26, 276/84, 212/592

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 75/26, 276/84, 212/592?

Answer: LCM of Numerators as per given numbers 75/26, 276/84, 212/592 is

LCM of Numerators i.e. for 75,276,212 is 365700

GCF of denominators i.e. for 26,84,592 is 2.

Thus, LCM of Fractions is 182850.Finally, LCM of Fractions for 75/26, 276/84, 212/592 is 182850.