Least Common Multiple of 6755/788, 6499/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6755/788, 6499/340 quickly i.e. 43900745/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6755/788, 6499/340 is 43900745/4.

LCM(6755/788, 6499/340) = 43900745/4

LCM of 6755/788, 6499/340

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 6755/788,6499/340

Given numbers are 6755/788,6499/340

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 6755,6499

Least Common Multiple of Numerators i.e. LCM of 6755,6499 is 43900745.

GCF of Denominators means GCF of 788,340 as per the given fractions.

GCF of 788,340 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6755,6499

LCM of Fractions 6755/788,6499/340 is 43900745/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 43900745

Least Common Multiple of 6755,6499 with GCF Formula

Least Common Multiple of 6755,6499 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 6755,6499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6755,6499) = 1

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

GCF(6755,6499) x common factors =1 x 1 = 1

LCM(6755,6499) = ( 6755 × 6499 ) / 1

LCM(6755,6499) = 43900745 / 1

LCM(6755,6499) = 43900745


Lets's calculate GCF of 788,340

2 788, 340
2 394, 170
197, 85

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43900745/4

Therefore the LCM of Fractions 6755/788,6499/340 is 43900745/4

Greatest Common Factor of 788,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,340 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 788,340 . The biggest common factor number is the GCF number.
So the greatest common factor 788,340 is 4.


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 6755/788, 6499/340

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 6755/788, 6499/340?

Answer: LCM of Numerators as per given numbers 6755/788, 6499/340 is

LCM of Numerators i.e. for 6755,6499 is 43900745

GCF of denominators i.e. for 788,340 is 4.

Thus, LCM of Fractions is 43900745/4.Finally, LCM of Fractions for 6755/788, 6499/340 is 43900745/4.