Least Common Multiple of 28/222, 66/622, 375/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/222, 66/622, 375/687 quickly i.e. 115500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/222, 66/622, 375/687 is 115500.

LCM(28/222, 66/622, 375/687) = 115500

LCM of 28/222, 66/622, 375/687

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 28/222,66/622,375/687

Given numbers are 28/222,66/622,375/687

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 28,66,375

Least Common Multiple of Numerators i.e. LCM of 28,66,375 is 115500.

GCF of Denominators means GCF of 222,622,687 as per the given fractions.

GCF of 222,622,687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,66,375

LCM of Fractions 28/222,66/622,375/687 is 115500

2 28, 66, 375
3 14, 33, 375
14, 11, 125

∴ So the LCM of the given numbers is 2 x 3 x 14 x 11 x 125 = 115500

Least Common Multiple of 28,66,375 with GCF Formula

Least Common Multiple of 28,66,375 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 28,66,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,66,375) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(28,66,375) x common factors =1 x 6 = 6

LCM(28,66,375) = ( 28 × 66 × 375 ) / 6

LCM(28,66,375) = 693000 / 6

LCM(28,66,375) = 115500


Lets's calculate GCF of 222,622,687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115500/1

Therefore the LCM of Fractions 28/222,66/622,375/687 is 115500

Greatest Common Factor of 222,622,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,622,687 By Matching Biggest Common Factor Method

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 222,622,687 . The biggest common factor number is the GCF number.
So the greatest common factor 222,622,687 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 28/222, 66/622, 375/687

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 28/222, 66/622, 375/687?

Answer: LCM of Numerators as per given numbers 28/222, 66/622, 375/687 is

LCM of Numerators i.e. for 28,66,375 is 115500

GCF of denominators i.e. for 222,622,687 is 1.

Thus, LCM of Fractions is 115500.Finally, LCM of Fractions for 28/222, 66/622, 375/687 is 115500.