Least Common Multiple of 105/850, 5793/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 105/850, 5793/413 quickly i.e. 202755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 105/850, 5793/413 is 202755.

LCM(105/850, 5793/413) = 202755

LCM of 105/850, 5793/413

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 105/850,5793/413

Given numbers are 105/850,5793/413

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 105,5793

Least Common Multiple of Numerators i.e. LCM of 105,5793 is 202755.

GCF of Denominators means GCF of 850,413 as per the given fractions.

GCF of 850,413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 105,5793

LCM of Fractions 105/850,5793/413 is 202755

3 105, 5793
35, 1931

∴ So the LCM of the given numbers is 3 x 35 x 1931 = 202755

Least Common Multiple of 105,5793 with GCF Formula

Least Common Multiple of 105,5793 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 105,5793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,5793) = 3

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

GCF(105,5793) x common factors =3 x 1 = 3

LCM(105,5793) = ( 105 × 5793 ) / 3

LCM(105,5793) = 608265 / 3

LCM(105,5793) = 202755


Lets's calculate GCF of 850,413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202755/1

Therefore the LCM of Fractions 105/850,5793/413 is 202755

Greatest Common Factor of 850,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,413 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 850,413 . The biggest common factor number is the GCF number.
So the greatest common factor 850,413 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 105/850, 5793/413

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 105/850, 5793/413?

Answer: LCM of Numerators as per given numbers 105/850, 5793/413 is

LCM of Numerators i.e. for 105,5793 is 202755

GCF of denominators i.e. for 850,413 is 1.

Thus, LCM of Fractions is 202755.Finally, LCM of Fractions for 105/850, 5793/413 is 202755.