Least Common Multiple of 471/497, 3581/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 471/497, 3581/766 quickly i.e. 1686651 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 471/497, 3581/766 is 1686651.

LCM(471/497, 3581/766) = 1686651

LCM of 471/497, 3581/766

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 471/497,3581/766

Given numbers are 471/497,3581/766

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 471,3581

Least Common Multiple of Numerators i.e. LCM of 471,3581 is 1686651.

GCF of Denominators means GCF of 497,766 as per the given fractions.

GCF of 497,766 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 471,3581

LCM of Fractions 471/497,3581/766 is 1686651

Given numbers has no common factors except 1. So, there LCM is their product i.e 1686651

Least Common Multiple of 471,3581 with GCF Formula

Least Common Multiple of 471,3581 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 471,3581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(471,3581) = 1

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

GCF(471,3581) x common factors =1 x 1 = 1

LCM(471,3581) = ( 471 × 3581 ) / 1

LCM(471,3581) = 1686651 / 1

LCM(471,3581) = 1686651


Lets's calculate GCF of 497,766

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1686651/1

Therefore the LCM of Fractions 471/497,3581/766 is 1686651

Greatest Common Factor of 497,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,766 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 497,766 . The biggest common factor number is the GCF number.
So the greatest common factor 497,766 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 471/497, 3581/766

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 471/497, 3581/766?

Answer: LCM of Numerators as per given numbers 471/497, 3581/766 is

LCM of Numerators i.e. for 471,3581 is 1686651

GCF of denominators i.e. for 497,766 is 1.

Thus, LCM of Fractions is 1686651.Finally, LCM of Fractions for 471/497, 3581/766 is 1686651.