Least Common Multiple of 65/352, 814/87, 823/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/352, 814/87, 823/991 quickly i.e. 43544930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/352, 814/87, 823/991 is 43544930.

LCM(65/352, 814/87, 823/991) = 43544930

LCM of 65/352, 814/87, 823/991

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 65/352,814/87,823/991

Given numbers are 65/352,814/87,823/991

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 65,814,823

Least Common Multiple of Numerators i.e. LCM of 65,814,823 is 43544930.

GCF of Denominators means GCF of 352,87,991 as per the given fractions.

GCF of 352,87,991 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,814,823

LCM of Fractions 65/352,814/87,823/991 is 43544930

Given numbers has no common factors except 1. So, there LCM is their product i.e 43544930

Least Common Multiple of 65,814,823 with GCF Formula

Least Common Multiple of 65,814,823 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 65,814,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,814,823) = 1

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

GCF(65,814,823) x common factors =1 x 1 = 1

LCM(65,814,823) = ( 65 × 814 × 823 ) / 1

LCM(65,814,823) = 43544930 / 1

LCM(65,814,823) = 43544930


Lets's calculate GCF of 352,87,991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43544930/1

Therefore the LCM of Fractions 65/352,814/87,823/991 is 43544930

Greatest Common Factor of 352,87,991 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,87,991 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Greatest Common Factor

We found the factors 352,87,991 . The biggest common factor number is the GCF number.
So the greatest common factor 352,87,991 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 65/352, 814/87, 823/991

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 65/352, 814/87, 823/991?

Answer: LCM of Numerators as per given numbers 65/352, 814/87, 823/991 is

LCM of Numerators i.e. for 65,814,823 is 43544930

GCF of denominators i.e. for 352,87,991 is 1.

Thus, LCM of Fractions is 43544930.Finally, LCM of Fractions for 65/352, 814/87, 823/991 is 43544930.