Least Common Multiple of 77/76, 110/82, 579/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/76, 110/82, 579/871 quickly i.e. 445830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/76, 110/82, 579/871 is 445830.

LCM(77/76, 110/82, 579/871) = 445830

LCM of 77/76, 110/82, 579/871

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 77/76,110/82,579/871

Given numbers are 77/76,110/82,579/871

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 77,110,579

Least Common Multiple of Numerators i.e. LCM of 77,110,579 is 445830.

GCF of Denominators means GCF of 76,82,871 as per the given fractions.

GCF of 76,82,871 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,110,579

LCM of Fractions 77/76,110/82,579/871 is 445830

11 77, 110, 579
7, 10, 579

∴ So the LCM of the given numbers is 11 x 7 x 10 x 579 = 445830

Least Common Multiple of 77,110,579 with GCF Formula

Least Common Multiple of 77,110,579 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 77,110,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,110,579) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(77,110,579) x common factors =1 x 11 = 11

LCM(77,110,579) = ( 77 × 110 × 579 ) / 11

LCM(77,110,579) = 4904130 / 11

LCM(77,110,579) = 445830


Lets's calculate GCF of 76,82,871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 445830/1

Therefore the LCM of Fractions 77/76,110/82,579/871 is 445830

Greatest Common Factor of 76,82,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,82,871 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 76,82,871 . The biggest common factor number is the GCF number.
So the greatest common factor 76,82,871 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 77/76, 110/82, 579/871

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 77/76, 110/82, 579/871?

Answer: LCM of Numerators as per given numbers 77/76, 110/82, 579/871 is

LCM of Numerators i.e. for 77,110,579 is 445830

GCF of denominators i.e. for 76,82,871 is 1.

Thus, LCM of Fractions is 445830.Finally, LCM of Fractions for 77/76, 110/82, 579/871 is 445830.