Least Common Multiple of 23/32, 98/70, 71/50, 35/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/32, 98/70, 71/50, 35/416 quickly i.e. 400085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/32, 98/70, 71/50, 35/416 is 400085.

LCM(23/32, 98/70, 71/50, 35/416) = 400085

LCM of 23/32, 98/70, 71/50, 35/416

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 23/32,98/70,71/50,35/416

Given numbers are 23/32,98/70,71/50,35/416

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 23,98,71,35

Least Common Multiple of Numerators i.e. LCM of 23,98,71,35 is 800170.

GCF of Denominators means GCF of 32,70,50,416 as per the given fractions.

GCF of 32,70,50,416 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,98,71,35

LCM of Fractions 23/32,98/70,71/50,35/416 is 400085

7 23, 98, 71, 35
23, 14, 71, 5

∴ So the LCM of the given numbers is 7 x 23 x 14 x 71 x 5 = 800170

Least Common Multiple of 23,98,71,35 with GCF Formula

Least Common Multiple of 23,98,71,35 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 23,98,71,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,98,71,35) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(23,98,71,35) x common factors =1 x 7 = 7

LCM(23,98,71,35) = ( 23 × 98 × 71 × 35 ) / 7

LCM(23,98,71,35) = 5601190 / 7

LCM(23,98,71,35) = 800170


Lets's calculate GCF of 32,70,50,416

2 32, 70, 50, 416
16, 35, 25, 208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 800170/2

Therefore the LCM of Fractions 23/32,98/70,71/50,35/416 is 400085

Greatest Common Factor of 32,70,50,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,70,50,416 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

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 50

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

1,2,5,10,25,50

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 32,70,50,416 . The biggest common factor number is the GCF number.
So the greatest common factor 32,70,50,416 is 2.


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 23/32, 98/70, 71/50, 35/416

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 23/32, 98/70, 71/50, 35/416?

Answer: LCM of Numerators as per given numbers 23/32, 98/70, 71/50, 35/416 is

LCM of Numerators i.e. for 23,98,71,35 is 800170

GCF of denominators i.e. for 32,70,50,416 is 2.

Thus, LCM of Fractions is 400085.Finally, LCM of Fractions for 23/32, 98/70, 71/50, 35/416 is 400085.