Least Common Multiple of 467/471, 420/527, 697/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 467/471, 420/527, 697/774 quickly i.e. 136709580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 467/471, 420/527, 697/774 is 136709580.

LCM(467/471, 420/527, 697/774) = 136709580

LCM of 467/471, 420/527, 697/774

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 467/471,420/527,697/774

Given numbers are 467/471,420/527,697/774

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 467,420,697

Least Common Multiple of Numerators i.e. LCM of 467,420,697 is 136709580.

GCF of Denominators means GCF of 471,527,774 as per the given fractions.

GCF of 471,527,774 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 467,420,697

LCM of Fractions 467/471,420/527,697/774 is 136709580

Given numbers has no common factors except 1. So, there LCM is their product i.e 136709580

Least Common Multiple of 467,420,697 with GCF Formula

Least Common Multiple of 467,420,697 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 467,420,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,420,697) = 1

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

GCF(467,420,697) x common factors =1 x 1 = 1

LCM(467,420,697) = ( 467 × 420 × 697 ) / 1

LCM(467,420,697) = 136709580 / 1

LCM(467,420,697) = 136709580


Lets's calculate GCF of 471,527,774

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136709580/1

Therefore the LCM of Fractions 467/471,420/527,697/774 is 136709580

Greatest Common Factor of 471,527,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 471,527,774 By Matching Biggest Common Factor Method

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 471,527,774 . The biggest common factor number is the GCF number.
So the greatest common factor 471,527,774 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 467/471, 420/527, 697/774

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 467/471, 420/527, 697/774?

Answer: LCM of Numerators as per given numbers 467/471, 420/527, 697/774 is

LCM of Numerators i.e. for 467,420,697 is 136709580

GCF of denominators i.e. for 471,527,774 is 1.

Thus, LCM of Fractions is 136709580.Finally, LCM of Fractions for 467/471, 420/527, 697/774 is 136709580.