Least Common Multiple of 89/832, 629/104, 415/647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 89/832, 629/104, 415/647 quickly i.e. 23232115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/832, 629/104, 415/647 is 23232115.

LCM(89/832, 629/104, 415/647) = 23232115

LCM of 89/832, 629/104, 415/647

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 89/832,629/104,415/647

Given numbers are 89/832,629/104,415/647

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 89,629,415

Least Common Multiple of Numerators i.e. LCM of 89,629,415 is 23232115.

GCF of Denominators means GCF of 832,104,647 as per the given fractions.

GCF of 832,104,647 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,629,415

LCM of Fractions 89/832,629/104,415/647 is 23232115

Given numbers has no common factors except 1. So, there LCM is their product i.e 23232115

Least Common Multiple of 89,629,415 with GCF Formula

Least Common Multiple of 89,629,415 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 89,629,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,629,415) = 1

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

GCF(89,629,415) x common factors =1 x 1 = 1

LCM(89,629,415) = ( 89 × 629 × 415 ) / 1

LCM(89,629,415) = 23232115 / 1

LCM(89,629,415) = 23232115


Lets's calculate GCF of 832,104,647

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23232115/1

Therefore the LCM of Fractions 89/832,629/104,415/647 is 23232115

Greatest Common Factor of 832,104,647 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,104,647 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Greatest Common Factor

We found the factors 832,104,647 . The biggest common factor number is the GCF number.
So the greatest common factor 832,104,647 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 89/832, 629/104, 415/647

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 89/832, 629/104, 415/647?

Answer: LCM of Numerators as per given numbers 89/832, 629/104, 415/647 is

LCM of Numerators i.e. for 89,629,415 is 23232115

GCF of denominators i.e. for 832,104,647 is 1.

Thus, LCM of Fractions is 23232115.Finally, LCM of Fractions for 89/832, 629/104, 415/647 is 23232115.