Least Common Multiple of 788/43, 402/3538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 788/43, 402/3538 quickly i.e. 158388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 788/43, 402/3538 is 158388.

LCM(788/43, 402/3538) = 158388

LCM of 788/43, 402/3538

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 788/43,402/3538

Given numbers are 788/43,402/3538

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 788,402

Least Common Multiple of Numerators i.e. LCM of 788,402 is 158388.

GCF of Denominators means GCF of 43,3538 as per the given fractions.

GCF of 43,3538 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 788,402

LCM of Fractions 788/43,402/3538 is 158388

2 788, 402
394, 201

∴ So the LCM of the given numbers is 2 x 394 x 201 = 158388

Least Common Multiple of 788,402 with GCF Formula

Least Common Multiple of 788,402 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 788,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,402) = 2

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

GCF(788,402) x common factors =2 x 1 = 2

LCM(788,402) = ( 788 × 402 ) / 2

LCM(788,402) = 316776 / 2

LCM(788,402) = 158388


Lets's calculate GCF of 43,3538

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158388/1

Therefore the LCM of Fractions 788/43,402/3538 is 158388

Greatest Common Factor of 43,3538 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,3538 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 3538

List of positive integer factors of 3538 that divides 3538 without a remainder.

1,2,29,58,61,122,1769,3538

Greatest Common Factor

We found the factors 43,3538 . The biggest common factor number is the GCF number.
So the greatest common factor 43,3538 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 788/43, 402/3538

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 788/43, 402/3538?

Answer: LCM of Numerators as per given numbers 788/43, 402/3538 is

LCM of Numerators i.e. for 788,402 is 158388

GCF of denominators i.e. for 43,3538 is 1.

Thus, LCM of Fractions is 158388.Finally, LCM of Fractions for 788/43, 402/3538 is 158388.