Least Common Multiple of 23/350, 4694/9945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/350, 4694/9945 quickly i.e. 107962/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/350, 4694/9945 is 107962/5.

LCM(23/350, 4694/9945) = 107962/5

LCM of 23/350, 4694/9945

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 23/350,4694/9945

Given numbers are 23/350,4694/9945

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 23,4694

Least Common Multiple of Numerators i.e. LCM of 23,4694 is 107962.

GCF of Denominators means GCF of 350,9945 as per the given fractions.

GCF of 350,9945 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,4694

LCM of Fractions 23/350,4694/9945 is 107962/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 107962

Least Common Multiple of 23,4694 with GCF Formula

Least Common Multiple of 23,4694 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 23,4694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,4694) = 1

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

GCF(23,4694) x common factors =1 x 1 = 1

LCM(23,4694) = ( 23 × 4694 ) / 1

LCM(23,4694) = 107962 / 1

LCM(23,4694) = 107962


Lets's calculate GCF of 350,9945

5 350, 9945
70, 1989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107962/5

Therefore the LCM of Fractions 23/350,4694/9945 is 107962/5

Greatest Common Factor of 350,9945 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,9945 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 9945

List of positive integer factors of 9945 that divides 9945 without a remainder.

1,3,5,9,13,15,17,39,45,51,65,85,117,153,195,221,255,585,663,765,1105,1989,3315,9945

Greatest Common Factor

We found the factors 350,9945 . The biggest common factor number is the GCF number.
So the greatest common factor 350,9945 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 23/350, 4694/9945

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 23/350, 4694/9945?

Answer: LCM of Numerators as per given numbers 23/350, 4694/9945 is

LCM of Numerators i.e. for 23,4694 is 107962

GCF of denominators i.e. for 350,9945 is 5.

Thus, LCM of Fractions is 107962/5.Finally, LCM of Fractions for 23/350, 4694/9945 is 107962/5.