Least Common Multiple of 750/33, 222/1958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 750/33, 222/1958 quickly i.e. 27750/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 750/33, 222/1958 is 27750/11.

LCM(750/33, 222/1958) = 27750/11

LCM of 750/33, 222/1958

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 750/33,222/1958

Given numbers are 750/33,222/1958

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 750,222

Least Common Multiple of Numerators i.e. LCM of 750,222 is 27750.

GCF of Denominators means GCF of 33,1958 as per the given fractions.

GCF of 33,1958 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 750,222

LCM of Fractions 750/33,222/1958 is 27750/11

2 750, 222
3 375, 111
125, 37

∴ So the LCM of the given numbers is 2 x 3 x 125 x 37 = 27750

Least Common Multiple of 750,222 with GCF Formula

Least Common Multiple of 750,222 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 750,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,222) = 6

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

GCF(750,222) x common factors =6 x 1 = 6

LCM(750,222) = ( 750 × 222 ) / 6

LCM(750,222) = 166500 / 6

LCM(750,222) = 27750


Lets's calculate GCF of 33,1958

11 33, 1958
3, 178

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27750/11

Therefore the LCM of Fractions 750/33,222/1958 is 27750/11

Greatest Common Factor of 33,1958 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,1958 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 1958

List of positive integer factors of 1958 that divides 1958 without a remainder.

1,2,11,22,89,178,979,1958

Greatest Common Factor

We found the factors 33,1958 . The biggest common factor number is the GCF number.
So the greatest common factor 33,1958 is 11.


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 750/33, 222/1958

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 750/33, 222/1958?

Answer: LCM of Numerators as per given numbers 750/33, 222/1958 is

LCM of Numerators i.e. for 750,222 is 27750

GCF of denominators i.e. for 33,1958 is 11.

Thus, LCM of Fractions is 27750/11.Finally, LCM of Fractions for 750/33, 222/1958 is 27750/11.