Least Common Multiple of 373/10, 306/50, 398/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 373/10, 306/50, 398/890 quickly i.e. 22713462/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 373/10, 306/50, 398/890 is 22713462/10.

LCM(373/10, 306/50, 398/890) = 22713462/10

LCM of 373/10, 306/50, 398/890

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 373/10,306/50,398/890

Given numbers are 373/10,306/50,398/890

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 373,306,398

Least Common Multiple of Numerators i.e. LCM of 373,306,398 is 22713462.

GCF of Denominators means GCF of 10,50,890 as per the given fractions.

GCF of 10,50,890 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 373,306,398

LCM of Fractions 373/10,306/50,398/890 is 22713462/10

2 373, 306, 398
373, 153, 199

∴ So the LCM of the given numbers is 2 x 373 x 153 x 199 = 22713462

Least Common Multiple of 373,306,398 with GCF Formula

Least Common Multiple of 373,306,398 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 373,306,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(373,306,398) = 1

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

GCF(373,306,398) x common factors =1 x 2 = 2

LCM(373,306,398) = ( 373 × 306 × 398 ) / 2

LCM(373,306,398) = 45426924 / 2

LCM(373,306,398) = 22713462


Lets's calculate GCF of 10,50,890

2 10, 50, 890
5 5, 25, 445
1, 5, 89

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22713462/10

Therefore the LCM of Fractions 373/10,306/50,398/890 is 22713462/10

Greatest Common Factor of 10,50,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,50,890 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 10,50,890 . The biggest common factor number is the GCF number.
So the greatest common factor 10,50,890 is 10.


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 373/10, 306/50, 398/890

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 373/10, 306/50, 398/890?

Answer: LCM of Numerators as per given numbers 373/10, 306/50, 398/890 is

LCM of Numerators i.e. for 373,306,398 is 22713462

GCF of denominators i.e. for 10,50,890 is 10.

Thus, LCM of Fractions is 22713462/10.Finally, LCM of Fractions for 373/10, 306/50, 398/890 is 22713462/10.