Least Common Multiple of 89/858, 14/802, 677/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/858, 14/802, 677/816 quickly i.e. 421771 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/858, 14/802, 677/816 is 421771.

LCM(89/858, 14/802, 677/816) = 421771

LCM of 89/858, 14/802, 677/816

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 89/858,14/802,677/816

Given numbers are 89/858,14/802,677/816

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 89,14,677

Least Common Multiple of Numerators i.e. LCM of 89,14,677 is 843542.

GCF of Denominators means GCF of 858,802,816 as per the given fractions.

GCF of 858,802,816 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,14,677

LCM of Fractions 89/858,14/802,677/816 is 421771

Given numbers has no common factors except 1. So, there LCM is their product i.e 843542

Least Common Multiple of 89,14,677 with GCF Formula

Least Common Multiple of 89,14,677 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 89,14,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,14,677) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(89,14,677) x common factors =1 x 1 = 1

LCM(89,14,677) = ( 89 × 14 × 677 ) / 1

LCM(89,14,677) = 843542 / 1

LCM(89,14,677) = 843542


Lets's calculate GCF of 858,802,816

2 858, 802, 816
429, 401, 408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 843542/2

Therefore the LCM of Fractions 89/858,14/802,677/816 is 421771

Greatest Common Factor of 858,802,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,802,816 By Matching Biggest Common Factor Method

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

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 858,802,816 . The biggest common factor number is the GCF number.
So the greatest common factor 858,802,816 is 2.


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 89/858, 14/802, 677/816

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 89/858, 14/802, 677/816?

Answer: LCM of Numerators as per given numbers 89/858, 14/802, 677/816 is

LCM of Numerators i.e. for 89,14,677 is 843542

GCF of denominators i.e. for 858,802,816 is 2.

Thus, LCM of Fractions is 421771.Finally, LCM of Fractions for 89/858, 14/802, 677/816 is 421771.