Least Common Multiple of 941/57, 628/45, 300/927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 941/57, 628/45, 300/927 quickly i.e. 14773700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 941/57, 628/45, 300/927 is 14773700.

LCM(941/57, 628/45, 300/927) = 14773700

LCM of 941/57, 628/45, 300/927

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 941/57,628/45,300/927

Given numbers are 941/57,628/45,300/927

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 941,628,300

Least Common Multiple of Numerators i.e. LCM of 941,628,300 is 44321100.

GCF of Denominators means GCF of 57,45,927 as per the given fractions.

GCF of 57,45,927 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 941,628,300

LCM of Fractions 941/57,628/45,300/927 is 14773700

2 941, 628, 300
2 941, 314, 150
941, 157, 75

∴ So the LCM of the given numbers is 2 x 2 x 941 x 157 x 75 = 44321100

Least Common Multiple of 941,628,300 with GCF Formula

Least Common Multiple of 941,628,300 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 941,628,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(941,628,300) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(941,628,300) x common factors =1 x 4 = 4

LCM(941,628,300) = ( 941 × 628 × 300 ) / 4

LCM(941,628,300) = 177284400 / 4

LCM(941,628,300) = 44321100


Lets's calculate GCF of 57,45,927

3 57, 45, 927
19, 15, 309

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44321100/3

Therefore the LCM of Fractions 941/57,628/45,300/927 is 14773700

Greatest Common Factor of 57,45,927 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,45,927 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Greatest Common Factor

We found the factors 57,45,927 . The biggest common factor number is the GCF number.
So the greatest common factor 57,45,927 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 941/57, 628/45, 300/927

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 941/57, 628/45, 300/927?

Answer: LCM of Numerators as per given numbers 941/57, 628/45, 300/927 is

LCM of Numerators i.e. for 941,628,300 is 44321100

GCF of denominators i.e. for 57,45,927 is 3.

Thus, LCM of Fractions is 14773700.Finally, LCM of Fractions for 941/57, 628/45, 300/927 is 14773700.