Least Common Multiple of 733/95, 178/21, 931/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 733/95, 178/21, 931/628 quickly i.e. 121471294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 733/95, 178/21, 931/628 is 121471294.

LCM(733/95, 178/21, 931/628) = 121471294

LCM of 733/95, 178/21, 931/628

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 733/95,178/21,931/628

Given numbers are 733/95,178/21,931/628

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 733,178,931

Least Common Multiple of Numerators i.e. LCM of 733,178,931 is 121471294.

GCF of Denominators means GCF of 95,21,628 as per the given fractions.

GCF of 95,21,628 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 733,178,931

LCM of Fractions 733/95,178/21,931/628 is 121471294

Given numbers has no common factors except 1. So, there LCM is their product i.e 121471294

Least Common Multiple of 733,178,931 with GCF Formula

Least Common Multiple of 733,178,931 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 733,178,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,178,931) = 1

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

GCF(733,178,931) x common factors =1 x 1 = 1

LCM(733,178,931) = ( 733 × 178 × 931 ) / 1

LCM(733,178,931) = 121471294 / 1

LCM(733,178,931) = 121471294


Lets's calculate GCF of 95,21,628

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121471294/1

Therefore the LCM of Fractions 733/95,178/21,931/628 is 121471294

Greatest Common Factor of 95,21,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,21,628 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 95,21,628 . The biggest common factor number is the GCF number.
So the greatest common factor 95,21,628 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 733/95, 178/21, 931/628

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 733/95, 178/21, 931/628?

Answer: LCM of Numerators as per given numbers 733/95, 178/21, 931/628 is

LCM of Numerators i.e. for 733,178,931 is 121471294

GCF of denominators i.e. for 95,21,628 is 1.

Thus, LCM of Fractions is 121471294.Finally, LCM of Fractions for 733/95, 178/21, 931/628 is 121471294.