Least Common Multiple of 455/85, 146/4692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 455/85, 146/4692 quickly i.e. 66430/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 455/85, 146/4692 is 66430/17.

LCM(455/85, 146/4692) = 66430/17

LCM of 455/85, 146/4692

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 455/85,146/4692

Given numbers are 455/85,146/4692

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 455,146

Least Common Multiple of Numerators i.e. LCM of 455,146 is 66430.

GCF of Denominators means GCF of 85,4692 as per the given fractions.

GCF of 85,4692 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 455,146

LCM of Fractions 455/85,146/4692 is 66430/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 66430

Least Common Multiple of 455,146 with GCF Formula

Least Common Multiple of 455,146 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 455,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(455,146) = 1

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

GCF(455,146) x common factors =1 x 1 = 1

LCM(455,146) = ( 455 × 146 ) / 1

LCM(455,146) = 66430 / 1

LCM(455,146) = 66430


Lets's calculate GCF of 85,4692

17 85, 4692
5, 276

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66430/17

Therefore the LCM of Fractions 455/85,146/4692 is 66430/17

Greatest Common Factor of 85,4692 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,4692 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 4692

List of positive integer factors of 4692 that divides 4692 without a remainder.

1,2,3,4,6,12,17,23,34,46,51,68,69,92,102,138,204,276,391,782,1173,1564,2346,4692

Greatest Common Factor

We found the factors 85,4692 . The biggest common factor number is the GCF number.
So the greatest common factor 85,4692 is 17.


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 455/85, 146/4692

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 455/85, 146/4692?

Answer: LCM of Numerators as per given numbers 455/85, 146/4692 is

LCM of Numerators i.e. for 455,146 is 66430

GCF of denominators i.e. for 85,4692 is 17.

Thus, LCM of Fractions is 66430/17.Finally, LCM of Fractions for 455/85, 146/4692 is 66430/17.