Least Common Multiple of 826/97, 768/4273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 826/97, 768/4273 quickly i.e. 317184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 826/97, 768/4273 is 317184.

LCM(826/97, 768/4273) = 317184

LCM of 826/97, 768/4273

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 826/97,768/4273

Given numbers are 826/97,768/4273

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 826,768

Least Common Multiple of Numerators i.e. LCM of 826,768 is 317184.

GCF of Denominators means GCF of 97,4273 as per the given fractions.

GCF of 97,4273 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 826,768

LCM of Fractions 826/97,768/4273 is 317184

2 826, 768
413, 384

∴ So the LCM of the given numbers is 2 x 413 x 384 = 317184

Least Common Multiple of 826,768 with GCF Formula

Least Common Multiple of 826,768 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 826,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,768) = 2

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

GCF(826,768) x common factors =2 x 1 = 2

LCM(826,768) = ( 826 × 768 ) / 2

LCM(826,768) = 634368 / 2

LCM(826,768) = 317184


Lets's calculate GCF of 97,4273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 317184/1

Therefore the LCM of Fractions 826/97,768/4273 is 317184

Greatest Common Factor of 97,4273 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,4273 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 4273

List of positive integer factors of 4273 that divides 4273 without a remainder.

1,4273

Greatest Common Factor

We found the factors 97,4273 . The biggest common factor number is the GCF number.
So the greatest common factor 97,4273 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 826/97, 768/4273

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 826/97, 768/4273?

Answer: LCM of Numerators as per given numbers 826/97, 768/4273 is

LCM of Numerators i.e. for 826,768 is 317184

GCF of denominators i.e. for 97,4273 is 1.

Thus, LCM of Fractions is 317184.Finally, LCM of Fractions for 826/97, 768/4273 is 317184.