Least Common Multiple of 45/803, 96/545, 998/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/803, 96/545, 998/480 quickly i.e. 718560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/803, 96/545, 998/480 is 718560.

LCM(45/803, 96/545, 998/480) = 718560

LCM of 45/803, 96/545, 998/480

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 45/803,96/545,998/480

Given numbers are 45/803,96/545,998/480

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 45,96,998

Least Common Multiple of Numerators i.e. LCM of 45,96,998 is 718560.

GCF of Denominators means GCF of 803,545,480 as per the given fractions.

GCF of 803,545,480 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,96,998

LCM of Fractions 45/803,96/545,998/480 is 718560

2 45, 96, 998
3 45, 48, 499
15, 16, 499

∴ So the LCM of the given numbers is 2 x 3 x 15 x 16 x 499 = 718560

Least Common Multiple of 45,96,998 with GCF Formula

Least Common Multiple of 45,96,998 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 45,96,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,96,998) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(45,96,998) x common factors =1 x 6 = 6

LCM(45,96,998) = ( 45 × 96 × 998 ) / 6

LCM(45,96,998) = 4311360 / 6

LCM(45,96,998) = 718560


Lets's calculate GCF of 803,545,480

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 718560/1

Therefore the LCM of Fractions 45/803,96/545,998/480 is 718560

Greatest Common Factor of 803,545,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 803,545,480 By Matching Biggest Common Factor Method

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 803,545,480 . The biggest common factor number is the GCF number.
So the greatest common factor 803,545,480 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 45/803, 96/545, 998/480

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 45/803, 96/545, 998/480?

Answer: LCM of Numerators as per given numbers 45/803, 96/545, 998/480 is

LCM of Numerators i.e. for 45,96,998 is 718560

GCF of denominators i.e. for 803,545,480 is 1.

Thus, LCM of Fractions is 718560.Finally, LCM of Fractions for 45/803, 96/545, 998/480 is 718560.