Least Common Multiple of 304/64, 493/73, 780/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 304/64, 493/73, 780/630 quickly i.e. 29225040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 304/64, 493/73, 780/630 is 29225040.

LCM(304/64, 493/73, 780/630) = 29225040

LCM of 304/64, 493/73, 780/630

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 304/64,493/73,780/630

Given numbers are 304/64,493/73,780/630

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 304,493,780

Least Common Multiple of Numerators i.e. LCM of 304,493,780 is 29225040.

GCF of Denominators means GCF of 64,73,630 as per the given fractions.

GCF of 64,73,630 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 304,493,780

LCM of Fractions 304/64,493/73,780/630 is 29225040

2 304, 493, 780
2 152, 493, 390
76, 493, 195

∴ So the LCM of the given numbers is 2 x 2 x 76 x 493 x 195 = 29225040

Least Common Multiple of 304,493,780 with GCF Formula

Least Common Multiple of 304,493,780 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 304,493,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,493,780) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(304,493,780) x common factors =1 x 4 = 4

LCM(304,493,780) = ( 304 × 493 × 780 ) / 4

LCM(304,493,780) = 116900160 / 4

LCM(304,493,780) = 29225040


Lets's calculate GCF of 64,73,630

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29225040/1

Therefore the LCM of Fractions 304/64,493/73,780/630 is 29225040

Greatest Common Factor of 64,73,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,73,630 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 64,73,630 . The biggest common factor number is the GCF number.
So the greatest common factor 64,73,630 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 304/64, 493/73, 780/630

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 304/64, 493/73, 780/630?

Answer: LCM of Numerators as per given numbers 304/64, 493/73, 780/630 is

LCM of Numerators i.e. for 304,493,780 is 29225040

GCF of denominators i.e. for 64,73,630 is 1.

Thus, LCM of Fractions is 29225040.Finally, LCM of Fractions for 304/64, 493/73, 780/630 is 29225040.