Least Common Multiple of 458/985, 8367/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 458/985, 8367/470 quickly i.e. 3832086/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 458/985, 8367/470 is 3832086/5.

LCM(458/985, 8367/470) = 3832086/5

LCM of 458/985, 8367/470

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 458/985,8367/470

Given numbers are 458/985,8367/470

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 458,8367

Least Common Multiple of Numerators i.e. LCM of 458,8367 is 3832086.

GCF of Denominators means GCF of 985,470 as per the given fractions.

GCF of 985,470 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 458,8367

LCM of Fractions 458/985,8367/470 is 3832086/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 3832086

Least Common Multiple of 458,8367 with GCF Formula

Least Common Multiple of 458,8367 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 458,8367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,8367) = 1

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

GCF(458,8367) x common factors =1 x 1 = 1

LCM(458,8367) = ( 458 × 8367 ) / 1

LCM(458,8367) = 3832086 / 1

LCM(458,8367) = 3832086


Lets's calculate GCF of 985,470

5 985, 470
197, 94

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3832086/5

Therefore the LCM of Fractions 458/985,8367/470 is 3832086/5

Greatest Common Factor of 985,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 985,470 By Matching Biggest Common Factor Method

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 985,470 . The biggest common factor number is the GCF number.
So the greatest common factor 985,470 is 5.


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 458/985, 8367/470

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 458/985, 8367/470?

Answer: LCM of Numerators as per given numbers 458/985, 8367/470 is

LCM of Numerators i.e. for 458,8367 is 3832086

GCF of denominators i.e. for 985,470 is 5.

Thus, LCM of Fractions is 3832086/5.Finally, LCM of Fractions for 458/985, 8367/470 is 3832086/5.