Least Common Multiple of 788/24, 708/3506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 788/24, 708/3506 quickly i.e. 69738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 788/24, 708/3506 is 69738.

LCM(788/24, 708/3506) = 69738

LCM of 788/24, 708/3506

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 788/24,708/3506

Given numbers are 788/24,708/3506

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 788,708

Least Common Multiple of Numerators i.e. LCM of 788,708 is 139476.

GCF of Denominators means GCF of 24,3506 as per the given fractions.

GCF of 24,3506 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 788,708

LCM of Fractions 788/24,708/3506 is 69738

2 788, 708
2 394, 354
197, 177

∴ So the LCM of the given numbers is 2 x 2 x 197 x 177 = 139476

Least Common Multiple of 788,708 with GCF Formula

Least Common Multiple of 788,708 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 788,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,708) = 4

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

GCF(788,708) x common factors =4 x 1 = 4

LCM(788,708) = ( 788 × 708 ) / 4

LCM(788,708) = 557904 / 4

LCM(788,708) = 139476


Lets's calculate GCF of 24,3506

2 24, 3506
12, 1753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139476/2

Therefore the LCM of Fractions 788/24,708/3506 is 69738

Greatest Common Factor of 24,3506 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,3506 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 3506

List of positive integer factors of 3506 that divides 3506 without a remainder.

1,2,1753,3506

Greatest Common Factor

We found the factors 24,3506 . The biggest common factor number is the GCF number.
So the greatest common factor 24,3506 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 788/24, 708/3506

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 788/24, 708/3506?

Answer: LCM of Numerators as per given numbers 788/24, 708/3506 is

LCM of Numerators i.e. for 788,708 is 139476

GCF of denominators i.e. for 24,3506 is 2.

Thus, LCM of Fractions is 69738.Finally, LCM of Fractions for 788/24, 708/3506 is 69738.