Least Common Multiple of 525/68, 6816/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 525/68, 6816/788 quickly i.e. 298200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 525/68, 6816/788 is 298200.

LCM(525/68, 6816/788) = 298200

LCM of 525/68, 6816/788

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 525/68,6816/788

Given numbers are 525/68,6816/788

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 525,6816

Least Common Multiple of Numerators i.e. LCM of 525,6816 is 1192800.

GCF of Denominators means GCF of 68,788 as per the given fractions.

GCF of 68,788 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 525,6816

LCM of Fractions 525/68,6816/788 is 298200

3 525, 6816
175, 2272

∴ So the LCM of the given numbers is 3 x 175 x 2272 = 1192800

Least Common Multiple of 525,6816 with GCF Formula

Least Common Multiple of 525,6816 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 525,6816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,6816) = 3

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

GCF(525,6816) x common factors =3 x 1 = 3

LCM(525,6816) = ( 525 × 6816 ) / 3

LCM(525,6816) = 3578400 / 3

LCM(525,6816) = 1192800


Lets's calculate GCF of 68,788

2 68, 788
2 34, 394
17, 197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1192800/4

Therefore the LCM of Fractions 525/68,6816/788 is 298200

Greatest Common Factor of 68,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,788 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 788

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

1,2,4,197,394,788

Greatest Common Factor

We found the factors 68,788 . The biggest common factor number is the GCF number.
So the greatest common factor 68,788 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 525/68, 6816/788

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 525/68, 6816/788?

Answer: LCM of Numerators as per given numbers 525/68, 6816/788 is

LCM of Numerators i.e. for 525,6816 is 1192800

GCF of denominators i.e. for 68,788 is 4.

Thus, LCM of Fractions is 298200.Finally, LCM of Fractions for 525/68, 6816/788 is 298200.