Least Common Multiple of 457/30, 5163/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 457/30, 5163/890 quickly i.e. 2359491/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 457/30, 5163/890 is 2359491/10.

LCM(457/30, 5163/890) = 2359491/10

LCM of 457/30, 5163/890

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 457/30,5163/890

Given numbers are 457/30,5163/890

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 457,5163

Least Common Multiple of Numerators i.e. LCM of 457,5163 is 2359491.

GCF of Denominators means GCF of 30,890 as per the given fractions.

GCF of 30,890 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 457,5163

LCM of Fractions 457/30,5163/890 is 2359491/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 2359491

Least Common Multiple of 457,5163 with GCF Formula

Least Common Multiple of 457,5163 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 457,5163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,5163) = 1

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

GCF(457,5163) x common factors =1 x 1 = 1

LCM(457,5163) = ( 457 × 5163 ) / 1

LCM(457,5163) = 2359491 / 1

LCM(457,5163) = 2359491


Lets's calculate GCF of 30,890

2 30, 890
5 15, 445
3, 89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2359491/10

Therefore the LCM of Fractions 457/30,5163/890 is 2359491/10

Greatest Common Factor of 30,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,890 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

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 30,890 . The biggest common factor number is the GCF number.
So the greatest common factor 30,890 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 457/30, 5163/890

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 457/30, 5163/890?

Answer: LCM of Numerators as per given numbers 457/30, 5163/890 is

LCM of Numerators i.e. for 457,5163 is 2359491

GCF of denominators i.e. for 30,890 is 10.

Thus, LCM of Fractions is 2359491/10.Finally, LCM of Fractions for 457/30, 5163/890 is 2359491/10.