Least Common Multiple of 600/88, 275/9222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 600/88, 275/9222 quickly i.e. 3300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/88, 275/9222 is 3300.

LCM(600/88, 275/9222) = 3300

LCM of 600/88, 275/9222

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 600/88,275/9222

Given numbers are 600/88,275/9222

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 600,275

Least Common Multiple of Numerators i.e. LCM of 600,275 is 6600.

GCF of Denominators means GCF of 88,9222 as per the given fractions.

GCF of 88,9222 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,275

LCM of Fractions 600/88,275/9222 is 3300

5 600, 275
5 120, 55
24, 11

∴ So the LCM of the given numbers is 5 x 5 x 24 x 11 = 6600

Least Common Multiple of 600,275 with GCF Formula

Least Common Multiple of 600,275 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 600,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,275) = 25

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

GCF(600,275) x common factors =25 x 1 = 25

LCM(600,275) = ( 600 × 275 ) / 25

LCM(600,275) = 165000 / 25

LCM(600,275) = 6600


Lets's calculate GCF of 88,9222

2 88, 9222
44, 4611

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6600/2

Therefore the LCM of Fractions 600/88,275/9222 is 3300

Greatest Common Factor of 88,9222 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,9222 By Matching Biggest Common Factor Method

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 9222

List of positive integer factors of 9222 that divides 9222 without a remainder.

1,2,3,6,29,53,58,87,106,159,174,318,1537,3074,4611,9222

Greatest Common Factor

We found the factors 88,9222 . The biggest common factor number is the GCF number.
So the greatest common factor 88,9222 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 600/88, 275/9222

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 600/88, 275/9222?

Answer: LCM of Numerators as per given numbers 600/88, 275/9222 is

LCM of Numerators i.e. for 600,275 is 6600

GCF of denominators i.e. for 88,9222 is 2.

Thus, LCM of Fractions is 3300.Finally, LCM of Fractions for 600/88, 275/9222 is 3300.