Least Common Multiple of 6304/530, 3152/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6304/530, 3152/830 quickly i.e. 6304/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6304/530, 3152/830 is 6304/10.

LCM(6304/530, 3152/830) = 6304/10

LCM of 6304/530, 3152/830

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 6304/530,3152/830

Given numbers are 6304/530,3152/830

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 6304,3152

Least Common Multiple of Numerators i.e. LCM of 6304,3152 is 6304.

GCF of Denominators means GCF of 530,830 as per the given fractions.

GCF of 530,830 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6304,3152

LCM of Fractions 6304/530,3152/830 is 6304/10

2 6304, 3152
2 3152, 1576
2 788, 1576
2 394, 788
197 197, 394
1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 197 x 1 x 2 = 6304

Least Common Multiple of 6304,3152 with GCF Formula

Least Common Multiple of 6304,3152 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 6304,3152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6304,3152) = 3152

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

GCF(6304,3152) x common factors =3152 x 1 = 3152

LCM(6304,3152) = ( 6304 × 3152 ) / 3152

LCM(6304,3152) = 19870208 / 3152

LCM(6304,3152) = 6304


Lets's calculate GCF of 530,830

2 530, 830
5 265, 415
53, 83

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6304/10

Therefore the LCM of Fractions 6304/530,3152/830 is 6304/10

Greatest Common Factor of 530,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,830 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 530,830 . The biggest common factor number is the GCF number.
So the greatest common factor 530,830 is 10.


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 6304/530, 3152/830

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 6304/530, 3152/830?

Answer: LCM of Numerators as per given numbers 6304/530, 3152/830 is

LCM of Numerators i.e. for 6304,3152 is 6304

GCF of denominators i.e. for 530,830 is 10.

Thus, LCM of Fractions is 6304/10.Finally, LCM of Fractions for 6304/530, 3152/830 is 6304/10.