Least Common Multiple of 83/77, 99/396, 687/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/77, 99/396, 687/858 quickly i.e. 171063 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/77, 99/396, 687/858 is 171063.

LCM(83/77, 99/396, 687/858) = 171063

LCM of 83/77, 99/396, 687/858

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 83/77,99/396,687/858

Given numbers are 83/77,99/396,687/858

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 83,99,687

Least Common Multiple of Numerators i.e. LCM of 83,99,687 is 1881693.

GCF of Denominators means GCF of 77,396,858 as per the given fractions.

GCF of 77,396,858 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,99,687

LCM of Fractions 83/77,99/396,687/858 is 171063

3 83, 99, 687
83, 33, 229

∴ So the LCM of the given numbers is 3 x 83 x 33 x 229 = 1881693

Least Common Multiple of 83,99,687 with GCF Formula

Least Common Multiple of 83,99,687 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 83,99,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,99,687) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(83,99,687) x common factors =1 x 3 = 3

LCM(83,99,687) = ( 83 × 99 × 687 ) / 3

LCM(83,99,687) = 5645079 / 3

LCM(83,99,687) = 1881693


Lets's calculate GCF of 77,396,858

11 77, 396, 858
7, 36, 78

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1881693/11

Therefore the LCM of Fractions 83/77,99/396,687/858 is 171063

Greatest Common Factor of 77,396,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,396,858 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 77,396,858 . The biggest common factor number is the GCF number.
So the greatest common factor 77,396,858 is 11.


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 83/77, 99/396, 687/858

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 83/77, 99/396, 687/858?

Answer: LCM of Numerators as per given numbers 83/77, 99/396, 687/858 is

LCM of Numerators i.e. for 83,99,687 is 1881693

GCF of denominators i.e. for 77,396,858 is 11.

Thus, LCM of Fractions is 171063.Finally, LCM of Fractions for 83/77, 99/396, 687/858 is 171063.