Least Common Multiple of 77/82, 86/87, 511/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/82, 86/87, 511/474 quickly i.e. 483406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/82, 86/87, 511/474 is 483406.

LCM(77/82, 86/87, 511/474) = 483406

LCM of 77/82, 86/87, 511/474

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 77/82,86/87,511/474

Given numbers are 77/82,86/87,511/474

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 77,86,511

Least Common Multiple of Numerators i.e. LCM of 77,86,511 is 483406.

GCF of Denominators means GCF of 82,87,474 as per the given fractions.

GCF of 82,87,474 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,86,511

LCM of Fractions 77/82,86/87,511/474 is 483406

7 77, 86, 511
11, 86, 73

∴ So the LCM of the given numbers is 7 x 11 x 86 x 73 = 483406

Least Common Multiple of 77,86,511 with GCF Formula

Least Common Multiple of 77,86,511 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 77,86,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,86,511) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,86,511) x common factors =1 x 7 = 7

LCM(77,86,511) = ( 77 × 86 × 511 ) / 7

LCM(77,86,511) = 3383842 / 7

LCM(77,86,511) = 483406


Lets's calculate GCF of 82,87,474

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 483406/1

Therefore the LCM of Fractions 77/82,86/87,511/474 is 483406

Greatest Common Factor of 82,87,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,87,474 By Matching Biggest Common Factor Method

Factors of 82

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

1,2,41,82

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 82,87,474 . The biggest common factor number is the GCF number.
So the greatest common factor 82,87,474 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 77/82, 86/87, 511/474

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 77/82, 86/87, 511/474?

Answer: LCM of Numerators as per given numbers 77/82, 86/87, 511/474 is

LCM of Numerators i.e. for 77,86,511 is 483406

GCF of denominators i.e. for 82,87,474 is 1.

Thus, LCM of Fractions is 483406.Finally, LCM of Fractions for 77/82, 86/87, 511/474 is 483406.