Least Common Multiple of 71/174, 27/759, 962/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/174, 27/759, 962/473 quickly i.e. 1844154 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/174, 27/759, 962/473 is 1844154.

LCM(71/174, 27/759, 962/473) = 1844154

LCM of 71/174, 27/759, 962/473

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 71/174,27/759,962/473

Given numbers are 71/174,27/759,962/473

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 71,27,962

Least Common Multiple of Numerators i.e. LCM of 71,27,962 is 1844154.

GCF of Denominators means GCF of 174,759,473 as per the given fractions.

GCF of 174,759,473 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,27,962

LCM of Fractions 71/174,27/759,962/473 is 1844154

Given numbers has no common factors except 1. So, there LCM is their product i.e 1844154

Least Common Multiple of 71,27,962 with GCF Formula

Least Common Multiple of 71,27,962 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 71,27,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,27,962) = 1

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

GCF(71,27,962) x common factors =1 x 1 = 1

LCM(71,27,962) = ( 71 × 27 × 962 ) / 1

LCM(71,27,962) = 1844154 / 1

LCM(71,27,962) = 1844154


Lets's calculate GCF of 174,759,473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1844154/1

Therefore the LCM of Fractions 71/174,27/759,962/473 is 1844154

Greatest Common Factor of 174,759,473 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,759,473 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 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Greatest Common Factor

We found the factors 174,759,473 . The biggest common factor number is the GCF number.
So the greatest common factor 174,759,473 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 71/174, 27/759, 962/473

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 71/174, 27/759, 962/473?

Answer: LCM of Numerators as per given numbers 71/174, 27/759, 962/473 is

LCM of Numerators i.e. for 71,27,962 is 1844154

GCF of denominators i.e. for 174,759,473 is 1.

Thus, LCM of Fractions is 1844154.Finally, LCM of Fractions for 71/174, 27/759, 962/473 is 1844154.