Least Common Multiple of 35/50, 823/58, 793/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 35/50, 823/58, 793/236 quickly i.e. 22842365/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/50, 823/58, 793/236 is 22842365/2.

LCM(35/50, 823/58, 793/236) = 22842365/2

LCM of 35/50, 823/58, 793/236

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 35/50,823/58,793/236

Given numbers are 35/50,823/58,793/236

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 35,823,793

Least Common Multiple of Numerators i.e. LCM of 35,823,793 is 22842365.

GCF of Denominators means GCF of 50,58,236 as per the given fractions.

GCF of 50,58,236 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,823,793

LCM of Fractions 35/50,823/58,793/236 is 22842365/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 22842365

Least Common Multiple of 35,823,793 with GCF Formula

Least Common Multiple of 35,823,793 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 35,823,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,823,793) = 1

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

GCF(35,823,793) x common factors =1 x 1 = 1

LCM(35,823,793) = ( 35 × 823 × 793 ) / 1

LCM(35,823,793) = 22842365 / 1

LCM(35,823,793) = 22842365


Lets's calculate GCF of 50,58,236

2 50, 58, 236
25, 29, 118

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22842365/2

Therefore the LCM of Fractions 35/50,823/58,793/236 is 22842365/2

Greatest Common Factor of 50,58,236 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,58,236 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Greatest Common Factor

We found the factors 50,58,236 . The biggest common factor number is the GCF number.
So the greatest common factor 50,58,236 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 35/50, 823/58, 793/236

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 35/50, 823/58, 793/236?

Answer: LCM of Numerators as per given numbers 35/50, 823/58, 793/236 is

LCM of Numerators i.e. for 35,823,793 is 22842365

GCF of denominators i.e. for 50,58,236 is 2.

Thus, LCM of Fractions is 22842365/2.Finally, LCM of Fractions for 35/50, 823/58, 793/236 is 22842365/2.