Least Common Multiple of 68/33, 726/47, 151/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/33, 726/47, 151/961 quickly i.e. 3727284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/33, 726/47, 151/961 is 3727284.

LCM(68/33, 726/47, 151/961) = 3727284

LCM of 68/33, 726/47, 151/961

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 68/33,726/47,151/961

Given numbers are 68/33,726/47,151/961

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 68,726,151

Least Common Multiple of Numerators i.e. LCM of 68,726,151 is 3727284.

GCF of Denominators means GCF of 33,47,961 as per the given fractions.

GCF of 33,47,961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,726,151

LCM of Fractions 68/33,726/47,151/961 is 3727284

2 68, 726, 151
34, 363, 151

∴ So the LCM of the given numbers is 2 x 34 x 363 x 151 = 3727284

Least Common Multiple of 68,726,151 with GCF Formula

Least Common Multiple of 68,726,151 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 68,726,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,726,151) = 1

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

GCF(68,726,151) x common factors =1 x 2 = 2

LCM(68,726,151) = ( 68 × 726 × 151 ) / 2

LCM(68,726,151) = 7454568 / 2

LCM(68,726,151) = 3727284


Lets's calculate GCF of 33,47,961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3727284/1

Therefore the LCM of Fractions 68/33,726/47,151/961 is 3727284

Greatest Common Factor of 33,47,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,47,961 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 33,47,961 . The biggest common factor number is the GCF number.
So the greatest common factor 33,47,961 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 68/33, 726/47, 151/961

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 68/33, 726/47, 151/961?

Answer: LCM of Numerators as per given numbers 68/33, 726/47, 151/961 is

LCM of Numerators i.e. for 68,726,151 is 3727284

GCF of denominators i.e. for 33,47,961 is 1.

Thus, LCM of Fractions is 3727284.Finally, LCM of Fractions for 68/33, 726/47, 151/961 is 3727284.