Least Common Multiple of 33/34, 832/98, 709/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/34, 832/98, 709/956 quickly i.e. 9733152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/34, 832/98, 709/956 is 9733152.

LCM(33/34, 832/98, 709/956) = 9733152

LCM of 33/34, 832/98, 709/956

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 33/34,832/98,709/956

Given numbers are 33/34,832/98,709/956

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 33,832,709

Least Common Multiple of Numerators i.e. LCM of 33,832,709 is 19466304.

GCF of Denominators means GCF of 34,98,956 as per the given fractions.

GCF of 34,98,956 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,832,709

LCM of Fractions 33/34,832/98,709/956 is 9733152

Given numbers has no common factors except 1. So, there LCM is their product i.e 19466304

Least Common Multiple of 33,832,709 with GCF Formula

Least Common Multiple of 33,832,709 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 33,832,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,832,709) = 1

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

GCF(33,832,709) x common factors =1 x 1 = 1

LCM(33,832,709) = ( 33 × 832 × 709 ) / 1

LCM(33,832,709) = 19466304 / 1

LCM(33,832,709) = 19466304


Lets's calculate GCF of 34,98,956

2 34, 98, 956
17, 49, 478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19466304/2

Therefore the LCM of Fractions 33/34,832/98,709/956 is 9733152

Greatest Common Factor of 34,98,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,98,956 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 34,98,956 . The biggest common factor number is the GCF number.
So the greatest common factor 34,98,956 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 33/34, 832/98, 709/956

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 33/34, 832/98, 709/956?

Answer: LCM of Numerators as per given numbers 33/34, 832/98, 709/956 is

LCM of Numerators i.e. for 33,832,709 is 19466304

GCF of denominators i.e. for 34,98,956 is 2.

Thus, LCM of Fractions is 9733152.Finally, LCM of Fractions for 33/34, 832/98, 709/956 is 9733152.