Least Common Multiple of 983/45, 960/3435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 983/45, 960/3435 quickly i.e. 62912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 983/45, 960/3435 is 62912.

LCM(983/45, 960/3435) = 62912

LCM of 983/45, 960/3435

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 983/45,960/3435

Given numbers are 983/45,960/3435

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 983,960

Least Common Multiple of Numerators i.e. LCM of 983,960 is 943680.

GCF of Denominators means GCF of 45,3435 as per the given fractions.

GCF of 45,3435 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 983,960

LCM of Fractions 983/45,960/3435 is 62912

Given numbers has no common factors except 1. So, there LCM is their product i.e 943680

Least Common Multiple of 983,960 with GCF Formula

Least Common Multiple of 983,960 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 983,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,960) = 1

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

GCF(983,960) x common factors =1 x 1 = 1

LCM(983,960) = ( 983 × 960 ) / 1

LCM(983,960) = 943680 / 1

LCM(983,960) = 943680


Lets's calculate GCF of 45,3435

3 45, 3435
5 15, 1145
3, 229

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 943680/15

Therefore the LCM of Fractions 983/45,960/3435 is 62912

Greatest Common Factor of 45,3435 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,3435 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 3435

List of positive integer factors of 3435 that divides 3435 without a remainder.

1,3,5,15,229,687,1145,3435

Greatest Common Factor

We found the factors 45,3435 . The biggest common factor number is the GCF number.
So the greatest common factor 45,3435 is 15.


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 983/45, 960/3435

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 983/45, 960/3435?

Answer: LCM of Numerators as per given numbers 983/45, 960/3435 is

LCM of Numerators i.e. for 983,960 is 943680

GCF of denominators i.e. for 45,3435 is 15.

Thus, LCM of Fractions is 62912.Finally, LCM of Fractions for 983/45, 960/3435 is 62912.