Least Common Multiple of 768/51, 127/80, 332/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/51, 127/80, 332/822 quickly i.e. 8095488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/51, 127/80, 332/822 is 8095488.

LCM(768/51, 127/80, 332/822) = 8095488

LCM of 768/51, 127/80, 332/822

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 768/51,127/80,332/822

Given numbers are 768/51,127/80,332/822

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 768,127,332

Least Common Multiple of Numerators i.e. LCM of 768,127,332 is 8095488.

GCF of Denominators means GCF of 51,80,822 as per the given fractions.

GCF of 51,80,822 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,127,332

LCM of Fractions 768/51,127/80,332/822 is 8095488

2 768, 127, 332
2 384, 127, 166
192, 127, 83

∴ So the LCM of the given numbers is 2 x 2 x 192 x 127 x 83 = 8095488

Least Common Multiple of 768,127,332 with GCF Formula

Least Common Multiple of 768,127,332 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 768,127,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,127,332) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(768,127,332) x common factors =1 x 4 = 4

LCM(768,127,332) = ( 768 × 127 × 332 ) / 4

LCM(768,127,332) = 32381952 / 4

LCM(768,127,332) = 8095488


Lets's calculate GCF of 51,80,822

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8095488/1

Therefore the LCM of Fractions 768/51,127/80,332/822 is 8095488

Greatest Common Factor of 51,80,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,80,822 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

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

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 51,80,822 . The biggest common factor number is the GCF number.
So the greatest common factor 51,80,822 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 768/51, 127/80, 332/822

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 768/51, 127/80, 332/822?

Answer: LCM of Numerators as per given numbers 768/51, 127/80, 332/822 is

LCM of Numerators i.e. for 768,127,332 is 8095488

GCF of denominators i.e. for 51,80,822 is 1.

Thus, LCM of Fractions is 8095488.Finally, LCM of Fractions for 768/51, 127/80, 332/822 is 8095488.