Least Common Multiple of 735/303, 580/919, 803/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 735/303, 580/919, 803/496 quickly i.e. 68463780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 735/303, 580/919, 803/496 is 68463780.

LCM(735/303, 580/919, 803/496) = 68463780

LCM of 735/303, 580/919, 803/496

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 735/303,580/919,803/496

Given numbers are 735/303,580/919,803/496

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 735,580,803

Least Common Multiple of Numerators i.e. LCM of 735,580,803 is 68463780.

GCF of Denominators means GCF of 303,919,496 as per the given fractions.

GCF of 303,919,496 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 735,580,803

LCM of Fractions 735/303,580/919,803/496 is 68463780

5 735, 580, 803
147, 116, 803

∴ So the LCM of the given numbers is 5 x 147 x 116 x 803 = 68463780

Least Common Multiple of 735,580,803 with GCF Formula

Least Common Multiple of 735,580,803 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 735,580,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,580,803) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(735,580,803) x common factors =1 x 5 = 5

LCM(735,580,803) = ( 735 × 580 × 803 ) / 5

LCM(735,580,803) = 342318900 / 5

LCM(735,580,803) = 68463780


Lets's calculate GCF of 303,919,496

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68463780/1

Therefore the LCM of Fractions 735/303,580/919,803/496 is 68463780

Greatest Common Factor of 303,919,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,919,496 By Matching Biggest Common Factor Method

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 303,919,496 . The biggest common factor number is the GCF number.
So the greatest common factor 303,919,496 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 735/303, 580/919, 803/496

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 735/303, 580/919, 803/496?

Answer: LCM of Numerators as per given numbers 735/303, 580/919, 803/496 is

LCM of Numerators i.e. for 735,580,803 is 68463780

GCF of denominators i.e. for 303,919,496 is 1.

Thus, LCM of Fractions is 68463780.Finally, LCM of Fractions for 735/303, 580/919, 803/496 is 68463780.