Least Common Multiple of 89/711, 208/345, 726/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/711, 208/345, 726/827 quickly i.e. 6719856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/711, 208/345, 726/827 is 6719856.

LCM(89/711, 208/345, 726/827) = 6719856

LCM of 89/711, 208/345, 726/827

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 89/711,208/345,726/827

Given numbers are 89/711,208/345,726/827

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 89,208,726

Least Common Multiple of Numerators i.e. LCM of 89,208,726 is 6719856.

GCF of Denominators means GCF of 711,345,827 as per the given fractions.

GCF of 711,345,827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,208,726

LCM of Fractions 89/711,208/345,726/827 is 6719856

2 89, 208, 726
89, 104, 363

∴ So the LCM of the given numbers is 2 x 89 x 104 x 363 = 6719856

Least Common Multiple of 89,208,726 with GCF Formula

Least Common Multiple of 89,208,726 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 89,208,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,208,726) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(89,208,726) x common factors =1 x 2 = 2

LCM(89,208,726) = ( 89 × 208 × 726 ) / 2

LCM(89,208,726) = 13439712 / 2

LCM(89,208,726) = 6719856


Lets's calculate GCF of 711,345,827

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6719856/1

Therefore the LCM of Fractions 89/711,208/345,726/827 is 6719856

Greatest Common Factor of 711,345,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,345,827 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 711,345,827 . The biggest common factor number is the GCF number.
So the greatest common factor 711,345,827 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 89/711, 208/345, 726/827

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 89/711, 208/345, 726/827?

Answer: LCM of Numerators as per given numbers 89/711, 208/345, 726/827 is

LCM of Numerators i.e. for 89,208,726 is 6719856

GCF of denominators i.e. for 711,345,827 is 1.

Thus, LCM of Fractions is 6719856.Finally, LCM of Fractions for 89/711, 208/345, 726/827 is 6719856.