Least Common Multiple of 165/16, 924/60, 940/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 165/16, 924/60, 940/879 quickly i.e. 217140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 165/16, 924/60, 940/879 is 217140.

LCM(165/16, 924/60, 940/879) = 217140

LCM of 165/16, 924/60, 940/879

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 165/16,924/60,940/879

Given numbers are 165/16,924/60,940/879

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 165,924,940

Least Common Multiple of Numerators i.e. LCM of 165,924,940 is 217140.

GCF of Denominators means GCF of 16,60,879 as per the given fractions.

GCF of 16,60,879 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 165,924,940

LCM of Fractions 165/16,924/60,940/879 is 217140

2 165, 924, 940
2 165, 462, 470
3 165, 231, 235
5 55, 77, 235
11 11, 77, 47
1, 7, 47

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 11 x 1 x 7 x 47 = 217140

Least Common Multiple of 165,924,940 with GCF Formula

Least Common Multiple of 165,924,940 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 165,924,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,924,940) = 1

common factors(in case of two or more numbers have common factors) = 660

GCF(165,924,940) x common factors =1 x 660 = 660

LCM(165,924,940) = ( 165 × 924 × 940 ) / 660

LCM(165,924,940) = 143312400 / 660

LCM(165,924,940) = 217140


Lets's calculate GCF of 16,60,879

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217140/1

Therefore the LCM of Fractions 165/16,924/60,940/879 is 217140

Greatest Common Factor of 16,60,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,60,879 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors 16,60,879 . The biggest common factor number is the GCF number.
So the greatest common factor 16,60,879 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 165/16, 924/60, 940/879

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 165/16, 924/60, 940/879?

Answer: LCM of Numerators as per given numbers 165/16, 924/60, 940/879 is

LCM of Numerators i.e. for 165,924,940 is 217140

GCF of denominators i.e. for 16,60,879 is 1.

Thus, LCM of Fractions is 217140.Finally, LCM of Fractions for 165/16, 924/60, 940/879 is 217140.