Least Common Multiple of 34/78, 89/32, 743/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/78, 89/32, 743/527 quickly i.e. 2248318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/78, 89/32, 743/527 is 2248318.

LCM(34/78, 89/32, 743/527) = 2248318

LCM of 34/78, 89/32, 743/527

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 34/78,89/32,743/527

Given numbers are 34/78,89/32,743/527

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 34,89,743

Least Common Multiple of Numerators i.e. LCM of 34,89,743 is 2248318.

GCF of Denominators means GCF of 78,32,527 as per the given fractions.

GCF of 78,32,527 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,89,743

LCM of Fractions 34/78,89/32,743/527 is 2248318

Given numbers has no common factors except 1. So, there LCM is their product i.e 2248318

Least Common Multiple of 34,89,743 with GCF Formula

Least Common Multiple of 34,89,743 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 34,89,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,89,743) = 1

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

GCF(34,89,743) x common factors =1 x 1 = 1

LCM(34,89,743) = ( 34 × 89 × 743 ) / 1

LCM(34,89,743) = 2248318 / 1

LCM(34,89,743) = 2248318


Lets's calculate GCF of 78,32,527

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2248318/1

Therefore the LCM of Fractions 34/78,89/32,743/527 is 2248318

Greatest Common Factor of 78,32,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,32,527 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors 78,32,527 . The biggest common factor number is the GCF number.
So the greatest common factor 78,32,527 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 34/78, 89/32, 743/527

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 34/78, 89/32, 743/527?

Answer: LCM of Numerators as per given numbers 34/78, 89/32, 743/527 is

LCM of Numerators i.e. for 34,89,743 is 2248318

GCF of denominators i.e. for 78,32,527 is 1.

Thus, LCM of Fractions is 2248318.Finally, LCM of Fractions for 34/78, 89/32, 743/527 is 2248318.