Least Common Multiple of 10/693, 11/485, 731/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/693, 11/485, 731/769 quickly i.e. 80410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/693, 11/485, 731/769 is 80410.

LCM(10/693, 11/485, 731/769) = 80410

LCM of 10/693, 11/485, 731/769

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 10/693,11/485,731/769

Given numbers are 10/693,11/485,731/769

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 10,11,731

Least Common Multiple of Numerators i.e. LCM of 10,11,731 is 80410.

GCF of Denominators means GCF of 693,485,769 as per the given fractions.

GCF of 693,485,769 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,11,731

LCM of Fractions 10/693,11/485,731/769 is 80410

Given numbers has no common factors except 1. So, there LCM is their product i.e 80410

Least Common Multiple of 10,11,731 with GCF Formula

Least Common Multiple of 10,11,731 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 10,11,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,11,731) = 1

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

GCF(10,11,731) x common factors =1 x 1 = 1

LCM(10,11,731) = ( 10 × 11 × 731 ) / 1

LCM(10,11,731) = 80410 / 1

LCM(10,11,731) = 80410


Lets's calculate GCF of 693,485,769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80410/1

Therefore the LCM of Fractions 10/693,11/485,731/769 is 80410

Greatest Common Factor of 693,485,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,485,769 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 693,485,769 . The biggest common factor number is the GCF number.
So the greatest common factor 693,485,769 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 10/693, 11/485, 731/769

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 10/693, 11/485, 731/769?

Answer: LCM of Numerators as per given numbers 10/693, 11/485, 731/769 is

LCM of Numerators i.e. for 10,11,731 is 80410

GCF of denominators i.e. for 693,485,769 is 1.

Thus, LCM of Fractions is 80410.Finally, LCM of Fractions for 10/693, 11/485, 731/769 is 80410.