Least Common Multiple of 89/829, 345/365, 417/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/829, 345/365, 417/683 quickly i.e. 4267995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/829, 345/365, 417/683 is 4267995.

LCM(89/829, 345/365, 417/683) = 4267995

LCM of 89/829, 345/365, 417/683

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 89/829,345/365,417/683

Given numbers are 89/829,345/365,417/683

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 89,345,417

Least Common Multiple of Numerators i.e. LCM of 89,345,417 is 4267995.

GCF of Denominators means GCF of 829,365,683 as per the given fractions.

GCF of 829,365,683 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,345,417

LCM of Fractions 89/829,345/365,417/683 is 4267995

3 89, 345, 417
89, 115, 139

∴ So the LCM of the given numbers is 3 x 89 x 115 x 139 = 4267995

Least Common Multiple of 89,345,417 with GCF Formula

Least Common Multiple of 89,345,417 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 89,345,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,345,417) = 1

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

GCF(89,345,417) x common factors =1 x 3 = 3

LCM(89,345,417) = ( 89 × 345 × 417 ) / 3

LCM(89,345,417) = 12803985 / 3

LCM(89,345,417) = 4267995


Lets's calculate GCF of 829,365,683

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4267995/1

Therefore the LCM of Fractions 89/829,345/365,417/683 is 4267995

Greatest Common Factor of 829,365,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,365,683 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Greatest Common Factor

We found the factors 829,365,683 . The biggest common factor number is the GCF number.
So the greatest common factor 829,365,683 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 89/829, 345/365, 417/683

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 89/829, 345/365, 417/683?

Answer: LCM of Numerators as per given numbers 89/829, 345/365, 417/683 is

LCM of Numerators i.e. for 89,345,417 is 4267995

GCF of denominators i.e. for 829,365,683 is 1.

Thus, LCM of Fractions is 4267995.Finally, LCM of Fractions for 89/829, 345/365, 417/683 is 4267995.