Least Common Multiple of 10/614, 6304/7584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/614, 6304/7584 quickly i.e. 15760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/614, 6304/7584 is 15760.

LCM(10/614, 6304/7584) = 15760

LCM of 10/614, 6304/7584

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 10/614,6304/7584

Given numbers are 10/614,6304/7584

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 10,6304

Least Common Multiple of Numerators i.e. LCM of 10,6304 is 31520.

GCF of Denominators means GCF of 614,7584 as per the given fractions.

GCF of 614,7584 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,6304

LCM of Fractions 10/614,6304/7584 is 15760

2 10, 6304
5, 3152

∴ So the LCM of the given numbers is 2 x 5 x 3152 = 31520

Least Common Multiple of 10,6304 with GCF Formula

Least Common Multiple of 10,6304 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 10,6304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,6304) = 2

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

GCF(10,6304) x common factors =2 x 1 = 2

LCM(10,6304) = ( 10 × 6304 ) / 2

LCM(10,6304) = 63040 / 2

LCM(10,6304) = 31520


Lets's calculate GCF of 614,7584

2 614, 7584
307, 3792

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31520/2

Therefore the LCM of Fractions 10/614,6304/7584 is 15760

Greatest Common Factor of 614,7584 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,7584 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 7584

List of positive integer factors of 7584 that divides 7584 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,79,96,158,237,316,474,632,948,1264,1896,2528,3792,7584

Greatest Common Factor

We found the factors 614,7584 . The biggest common factor number is the GCF number.
So the greatest common factor 614,7584 is 2.


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 10/614, 6304/7584

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 10/614, 6304/7584?

Answer: LCM of Numerators as per given numbers 10/614, 6304/7584 is

LCM of Numerators i.e. for 10,6304 is 31520

GCF of denominators i.e. for 614,7584 is 2.

Thus, LCM of Fractions is 15760.Finally, LCM of Fractions for 10/614, 6304/7584 is 15760.