Least Common Multiple of 968/405, 829/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 968/405, 829/765 quickly i.e. 802472/45 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 968/405, 829/765 is 802472/45.

LCM(968/405, 829/765) = 802472/45

LCM of 968/405, 829/765

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 968/405,829/765

Given numbers are 968/405,829/765

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 968,829

Least Common Multiple of Numerators i.e. LCM of 968,829 is 802472.

GCF of Denominators means GCF of 405,765 as per the given fractions.

GCF of 405,765 is 45 as it is the largest common factor for these numbers.

Lets's calculate LCM of 968,829

LCM of Fractions 968/405,829/765 is 802472/45

Given numbers has no common factors except 1. So, there LCM is their product i.e 802472

Least Common Multiple of 968,829 with GCF Formula

Least Common Multiple of 968,829 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 968,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,829) = 1

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

GCF(968,829) x common factors =1 x 1 = 1

LCM(968,829) = ( 968 × 829 ) / 1

LCM(968,829) = 802472 / 1

LCM(968,829) = 802472


Lets's calculate GCF of 405,765

3 405, 765
3 135, 255
5 45, 85
9, 17

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 802472/45

Therefore the LCM of Fractions 968/405,829/765 is 802472/45

Greatest Common Factor of 405,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,765 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 405,765 . The biggest common factor number is the GCF number.
So the greatest common factor 405,765 is 45.


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 968/405, 829/765

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 968/405, 829/765?

Answer: LCM of Numerators as per given numbers 968/405, 829/765 is

LCM of Numerators i.e. for 968,829 is 802472

GCF of denominators i.e. for 405,765 is 45.

Thus, LCM of Fractions is 802472/45.Finally, LCM of Fractions for 968/405, 829/765 is 802472/45.