Least Common Multiple of 845/70, 105/4873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 845/70, 105/4873 quickly i.e. 17745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 845/70, 105/4873 is 17745.

LCM(845/70, 105/4873) = 17745

LCM of 845/70, 105/4873

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 845/70,105/4873

Given numbers are 845/70,105/4873

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 845,105

Least Common Multiple of Numerators i.e. LCM of 845,105 is 17745.

GCF of Denominators means GCF of 70,4873 as per the given fractions.

GCF of 70,4873 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 845,105

LCM of Fractions 845/70,105/4873 is 17745

5 845, 105
169, 21

∴ So the LCM of the given numbers is 5 x 169 x 21 = 17745

Least Common Multiple of 845,105 with GCF Formula

Least Common Multiple of 845,105 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 845,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(845,105) = 5

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

GCF(845,105) x common factors =5 x 1 = 5

LCM(845,105) = ( 845 × 105 ) / 5

LCM(845,105) = 88725 / 5

LCM(845,105) = 17745


Lets's calculate GCF of 70,4873

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17745/1

Therefore the LCM of Fractions 845/70,105/4873 is 17745

Greatest Common Factor of 70,4873 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,4873 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 4873

List of positive integer factors of 4873 that divides 4873 without a remainder.

1,11,443,4873

Greatest Common Factor

We found the factors 70,4873 . The biggest common factor number is the GCF number.
So the greatest common factor 70,4873 is 1.


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 845/70, 105/4873

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 845/70, 105/4873?

Answer: LCM of Numerators as per given numbers 845/70, 105/4873 is

LCM of Numerators i.e. for 845,105 is 17745

GCF of denominators i.e. for 70,4873 is 1.

Thus, LCM of Fractions is 17745.Finally, LCM of Fractions for 845/70, 105/4873 is 17745.