Least Common Multiple of 32/292, 198/750, 660/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/292, 198/750, 660/262 quickly i.e. 7920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/292, 198/750, 660/262 is 7920.

LCM(32/292, 198/750, 660/262) = 7920

LCM of 32/292, 198/750, 660/262

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 32/292,198/750,660/262

Given numbers are 32/292,198/750,660/262

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 32,198,660

Least Common Multiple of Numerators i.e. LCM of 32,198,660 is 15840.

GCF of Denominators means GCF of 292,750,262 as per the given fractions.

GCF of 292,750,262 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,198,660

LCM of Fractions 32/292,198/750,660/262 is 7920

2 32, 198, 660
2 16, 99, 330
3 8, 99, 165
11 8, 33, 55
8, 3, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 8 x 3 x 5 = 15840

Least Common Multiple of 32,198,660 with GCF Formula

Least Common Multiple of 32,198,660 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 32,198,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,198,660) = 2

common factors(in case of two or more numbers have common factors) = 132

GCF(32,198,660) x common factors =2 x 132 = 264

LCM(32,198,660) = ( 32 × 198 × 660 ) / 264

LCM(32,198,660) = 4181760 / 264

LCM(32,198,660) = 15840


Lets's calculate GCF of 292,750,262

2 292, 750, 262
146, 375, 131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15840/2

Therefore the LCM of Fractions 32/292,198/750,660/262 is 7920

Greatest Common Factor of 292,750,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,750,262 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 292,750,262 . The biggest common factor number is the GCF number.
So the greatest common factor 292,750,262 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 32/292, 198/750, 660/262

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 32/292, 198/750, 660/262?

Answer: LCM of Numerators as per given numbers 32/292, 198/750, 660/262 is

LCM of Numerators i.e. for 32,198,660 is 15840

GCF of denominators i.e. for 292,750,262 is 2.

Thus, LCM of Fractions is 7920.Finally, LCM of Fractions for 32/292, 198/750, 660/262 is 7920.