Least Common Multiple of 733/55, 382/93, 946/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 733/55, 382/93, 946/831 quickly i.e. 132442838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 733/55, 382/93, 946/831 is 132442838.

LCM(733/55, 382/93, 946/831) = 132442838

LCM of 733/55, 382/93, 946/831

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 733/55,382/93,946/831

Given numbers are 733/55,382/93,946/831

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 733,382,946

Least Common Multiple of Numerators i.e. LCM of 733,382,946 is 132442838.

GCF of Denominators means GCF of 55,93,831 as per the given fractions.

GCF of 55,93,831 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 733,382,946

LCM of Fractions 733/55,382/93,946/831 is 132442838

2 733, 382, 946
733, 191, 473

∴ So the LCM of the given numbers is 2 x 733 x 191 x 473 = 132442838

Least Common Multiple of 733,382,946 with GCF Formula

Least Common Multiple of 733,382,946 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 733,382,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,382,946) = 1

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

GCF(733,382,946) x common factors =1 x 2 = 2

LCM(733,382,946) = ( 733 × 382 × 946 ) / 2

LCM(733,382,946) = 264885676 / 2

LCM(733,382,946) = 132442838


Lets's calculate GCF of 55,93,831

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132442838/1

Therefore the LCM of Fractions 733/55,382/93,946/831 is 132442838

Greatest Common Factor of 55,93,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,93,831 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors 55,93,831 . The biggest common factor number is the GCF number.
So the greatest common factor 55,93,831 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 733/55, 382/93, 946/831

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 733/55, 382/93, 946/831?

Answer: LCM of Numerators as per given numbers 733/55, 382/93, 946/831 is

LCM of Numerators i.e. for 733,382,946 is 132442838

GCF of denominators i.e. for 55,93,831 is 1.

Thus, LCM of Fractions is 132442838.Finally, LCM of Fractions for 733/55, 382/93, 946/831 is 132442838.