Least Common Multiple of 66/768, 325/374, 879/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/768, 325/374, 879/350 quickly i.e. 3142425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/768, 325/374, 879/350 is 3142425.

LCM(66/768, 325/374, 879/350) = 3142425

LCM of 66/768, 325/374, 879/350

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 66/768,325/374,879/350

Given numbers are 66/768,325/374,879/350

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 66,325,879

Least Common Multiple of Numerators i.e. LCM of 66,325,879 is 6284850.

GCF of Denominators means GCF of 768,374,350 as per the given fractions.

GCF of 768,374,350 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,325,879

LCM of Fractions 66/768,325/374,879/350 is 3142425

3 66, 325, 879
22, 325, 293

∴ So the LCM of the given numbers is 3 x 22 x 325 x 293 = 6284850

Least Common Multiple of 66,325,879 with GCF Formula

Least Common Multiple of 66,325,879 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 66,325,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,325,879) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(66,325,879) x common factors =1 x 3 = 3

LCM(66,325,879) = ( 66 × 325 × 879 ) / 3

LCM(66,325,879) = 18854550 / 3

LCM(66,325,879) = 6284850


Lets's calculate GCF of 768,374,350

2 768, 374, 350
384, 187, 175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6284850/2

Therefore the LCM of Fractions 66/768,325/374,879/350 is 3142425

Greatest Common Factor of 768,374,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,374,350 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 768,374,350 . The biggest common factor number is the GCF number.
So the greatest common factor 768,374,350 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 66/768, 325/374, 879/350

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 66/768, 325/374, 879/350?

Answer: LCM of Numerators as per given numbers 66/768, 325/374, 879/350 is

LCM of Numerators i.e. for 66,325,879 is 6284850

GCF of denominators i.e. for 768,374,350 is 2.

Thus, LCM of Fractions is 3142425.Finally, LCM of Fractions for 66/768, 325/374, 879/350 is 3142425.