Least Common Multiple of 96/160, 45/476, 782/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/160, 45/476, 782/488 quickly i.e. 140760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/160, 45/476, 782/488 is 140760.

LCM(96/160, 45/476, 782/488) = 140760

LCM of 96/160, 45/476, 782/488

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 96/160,45/476,782/488

Given numbers are 96/160,45/476,782/488

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 96,45,782

Least Common Multiple of Numerators i.e. LCM of 96,45,782 is 563040.

GCF of Denominators means GCF of 160,476,488 as per the given fractions.

GCF of 160,476,488 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,45,782

LCM of Fractions 96/160,45/476,782/488 is 140760

2 96, 45, 782
3 48, 45, 391
16, 15, 391

∴ So the LCM of the given numbers is 2 x 3 x 16 x 15 x 391 = 563040

Least Common Multiple of 96,45,782 with GCF Formula

Least Common Multiple of 96,45,782 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 96,45,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,45,782) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(96,45,782) x common factors =1 x 6 = 6

LCM(96,45,782) = ( 96 × 45 × 782 ) / 6

LCM(96,45,782) = 3378240 / 6

LCM(96,45,782) = 563040


Lets's calculate GCF of 160,476,488

2 160, 476, 488
2 80, 238, 244
40, 119, 122

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 563040/4

Therefore the LCM of Fractions 96/160,45/476,782/488 is 140760

Greatest Common Factor of 160,476,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,476,488 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 160,476,488 . The biggest common factor number is the GCF number.
So the greatest common factor 160,476,488 is 4.


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 96/160, 45/476, 782/488

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 96/160, 45/476, 782/488?

Answer: LCM of Numerators as per given numbers 96/160, 45/476, 782/488 is

LCM of Numerators i.e. for 96,45,782 is 563040

GCF of denominators i.e. for 160,476,488 is 4.

Thus, LCM of Fractions is 140760.Finally, LCM of Fractions for 96/160, 45/476, 782/488 is 140760.