Least Common Multiple of 30/13, 688/62, 496/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/13, 688/62, 496/745 quickly i.e. 319920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/13, 688/62, 496/745 is 319920.

LCM(30/13, 688/62, 496/745) = 319920

LCM of 30/13, 688/62, 496/745

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 30/13,688/62,496/745

Given numbers are 30/13,688/62,496/745

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 30,688,496

Least Common Multiple of Numerators i.e. LCM of 30,688,496 is 319920.

GCF of Denominators means GCF of 13,62,745 as per the given fractions.

GCF of 13,62,745 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,688,496

LCM of Fractions 30/13,688/62,496/745 is 319920

2 30, 688, 496
2 15, 344, 248
2 15, 172, 124
2 15, 86, 62
15, 43, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 15 x 43 x 31 = 319920

Least Common Multiple of 30,688,496 with GCF Formula

Least Common Multiple of 30,688,496 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 30,688,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,688,496) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(30,688,496) x common factors =2 x 16 = 32

LCM(30,688,496) = ( 30 × 688 × 496 ) / 32

LCM(30,688,496) = 10237440 / 32

LCM(30,688,496) = 319920


Lets's calculate GCF of 13,62,745

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 319920/1

Therefore the LCM of Fractions 30/13,688/62,496/745 is 319920

Greatest Common Factor of 13,62,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,62,745 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 13,62,745 . The biggest common factor number is the GCF number.
So the greatest common factor 13,62,745 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 30/13, 688/62, 496/745

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 30/13, 688/62, 496/745?

Answer: LCM of Numerators as per given numbers 30/13, 688/62, 496/745 is

LCM of Numerators i.e. for 30,688,496 is 319920

GCF of denominators i.e. for 13,62,745 is 1.

Thus, LCM of Fractions is 319920.Finally, LCM of Fractions for 30/13, 688/62, 496/745 is 319920.