Least Common Multiple of 2/23, 8/35, 75/64, 82/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2/23, 8/35, 75/64, 82/370 quickly i.e. 24600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2/23, 8/35, 75/64, 82/370 is 24600.

LCM(2/23, 8/35, 75/64, 82/370) = 24600

LCM of 2/23, 8/35, 75/64, 82/370

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 2/23,8/35,75/64,82/370

Given numbers are 2/23,8/35,75/64,82/370

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 2,8,75,82

Least Common Multiple of Numerators i.e. LCM of 2,8,75,82 is 24600.

GCF of Denominators means GCF of 23,35,64,370 as per the given fractions.

GCF of 23,35,64,370 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2,8,75,82

LCM of Fractions 2/23,8/35,75/64,82/370 is 24600

2 2, 8, 75, 82
1, 4, 75, 41

∴ So the LCM of the given numbers is 2 x 1 x 4 x 75 x 41 = 24600

Least Common Multiple of 2,8,75,82 with GCF Formula

Least Common Multiple of 2,8,75,82 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 2,8,75,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,8,75,82) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(2,8,75,82) x common factors =1 x 4 = 4

LCM(2,8,75,82) = ( 2 × 8 × 75 × 82 ) / 4

LCM(2,8,75,82) = 98400 / 4

LCM(2,8,75,82) = 24600


Lets's calculate GCF of 23,35,64,370

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24600/1

Therefore the LCM of Fractions 2/23,8/35,75/64,82/370 is 24600

Greatest Common Factor of 23,35,64,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,35,64,370 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 23,35,64,370 . The biggest common factor number is the GCF number.
So the greatest common factor 23,35,64,370 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 2/23, 8/35, 75/64, 82/370

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 2/23, 8/35, 75/64, 82/370?

Answer: LCM of Numerators as per given numbers 2/23, 8/35, 75/64, 82/370 is

LCM of Numerators i.e. for 2,8,75,82 is 24600

GCF of denominators i.e. for 23,35,64,370 is 1.

Thus, LCM of Fractions is 24600.Finally, LCM of Fractions for 2/23, 8/35, 75/64, 82/370 is 24600.