Least Common Multiple of 91/174, 323/855, 740/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/174, 323/855, 740/258 quickly i.e. 21750820/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/174, 323/855, 740/258 is 21750820/3.

LCM(91/174, 323/855, 740/258) = 21750820/3

LCM of 91/174, 323/855, 740/258

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 91/174,323/855,740/258

Given numbers are 91/174,323/855,740/258

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 91,323,740

Least Common Multiple of Numerators i.e. LCM of 91,323,740 is 21750820.

GCF of Denominators means GCF of 174,855,258 as per the given fractions.

GCF of 174,855,258 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,323,740

LCM of Fractions 91/174,323/855,740/258 is 21750820/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 21750820

Least Common Multiple of 91,323,740 with GCF Formula

Least Common Multiple of 91,323,740 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 91,323,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,323,740) = 1

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

GCF(91,323,740) x common factors =1 x 1 = 1

LCM(91,323,740) = ( 91 × 323 × 740 ) / 1

LCM(91,323,740) = 21750820 / 1

LCM(91,323,740) = 21750820


Lets's calculate GCF of 174,855,258

3 174, 855, 258
58, 285, 86

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21750820/3

Therefore the LCM of Fractions 91/174,323/855,740/258 is 21750820/3

Greatest Common Factor of 174,855,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,855,258 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 174,855,258 . The biggest common factor number is the GCF number.
So the greatest common factor 174,855,258 is 3.


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 91/174, 323/855, 740/258

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 91/174, 323/855, 740/258?

Answer: LCM of Numerators as per given numbers 91/174, 323/855, 740/258 is

LCM of Numerators i.e. for 91,323,740 is 21750820

GCF of denominators i.e. for 174,855,258 is 3.

Thus, LCM of Fractions is 21750820/3.Finally, LCM of Fractions for 91/174, 323/855, 740/258 is 21750820/3.