Least Common Multiple of 535/783, 969/888, 991/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 535/783, 969/888, 991/466 quickly i.e. 513749265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 535/783, 969/888, 991/466 is 513749265.

LCM(535/783, 969/888, 991/466) = 513749265

LCM of 535/783, 969/888, 991/466

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 535/783,969/888,991/466

Given numbers are 535/783,969/888,991/466

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 535,969,991

Least Common Multiple of Numerators i.e. LCM of 535,969,991 is 513749265.

GCF of Denominators means GCF of 783,888,466 as per the given fractions.

GCF of 783,888,466 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 535,969,991

LCM of Fractions 535/783,969/888,991/466 is 513749265

Given numbers has no common factors except 1. So, there LCM is their product i.e 513749265

Least Common Multiple of 535,969,991 with GCF Formula

Least Common Multiple of 535,969,991 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 535,969,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,969,991) = 1

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

GCF(535,969,991) x common factors =1 x 1 = 1

LCM(535,969,991) = ( 535 × 969 × 991 ) / 1

LCM(535,969,991) = 513749265 / 1

LCM(535,969,991) = 513749265


Lets's calculate GCF of 783,888,466

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 513749265/1

Therefore the LCM of Fractions 535/783,969/888,991/466 is 513749265

Greatest Common Factor of 783,888,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,888,466 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 783,888,466 . The biggest common factor number is the GCF number.
So the greatest common factor 783,888,466 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 535/783, 969/888, 991/466

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 535/783, 969/888, 991/466?

Answer: LCM of Numerators as per given numbers 535/783, 969/888, 991/466 is

LCM of Numerators i.e. for 535,969,991 is 513749265

GCF of denominators i.e. for 783,888,466 is 1.

Thus, LCM of Fractions is 513749265.Finally, LCM of Fractions for 535/783, 969/888, 991/466 is 513749265.