Least Common Multiple of 328/126, 270/768, 576/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 328/126, 270/768, 576/782 quickly i.e. 177120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 328/126, 270/768, 576/782 is 177120.

LCM(328/126, 270/768, 576/782) = 177120

LCM of 328/126, 270/768, 576/782

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 328/126,270/768,576/782

Given numbers are 328/126,270/768,576/782

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 328,270,576

Least Common Multiple of Numerators i.e. LCM of 328,270,576 is 354240.

GCF of Denominators means GCF of 126,768,782 as per the given fractions.

GCF of 126,768,782 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 328,270,576

LCM of Fractions 328/126,270/768,576/782 is 177120

2 328, 270, 576
2 164, 135, 288
2 82, 135, 144
3 41, 135, 72
3 41, 45, 24
41, 15, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 41 x 15 x 8 = 354240

Least Common Multiple of 328,270,576 with GCF Formula

Least Common Multiple of 328,270,576 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 328,270,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,270,576) = 2

common factors(in case of two or more numbers have common factors) = 72

GCF(328,270,576) x common factors =2 x 72 = 144

LCM(328,270,576) = ( 328 × 270 × 576 ) / 144

LCM(328,270,576) = 51010560 / 144

LCM(328,270,576) = 354240


Lets's calculate GCF of 126,768,782

2 126, 768, 782
63, 384, 391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 354240/2

Therefore the LCM of Fractions 328/126,270/768,576/782 is 177120

Greatest Common Factor of 126,768,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,768,782 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

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 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 126,768,782 . The biggest common factor number is the GCF number.
So the greatest common factor 126,768,782 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 328/126, 270/768, 576/782

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 328/126, 270/768, 576/782?

Answer: LCM of Numerators as per given numbers 328/126, 270/768, 576/782 is

LCM of Numerators i.e. for 328,270,576 is 354240

GCF of denominators i.e. for 126,768,782 is 2.

Thus, LCM of Fractions is 177120.Finally, LCM of Fractions for 328/126, 270/768, 576/782 is 177120.